diff --git a/bindings/matrix-sdk-ffi/src/room_list.rs b/bindings/matrix-sdk-ffi/src/room_list.rs
index d1cd3c9a7a7..1911a924ae2 100644
--- a/bindings/matrix-sdk-ffi/src/room_list.rs
+++ b/bindings/matrix-sdk-ffi/src/room_list.rs
@@ -13,9 +13,13 @@ use matrix_sdk::{
     RoomListEntry as MatrixRoomListEntry,
 };
 use matrix_sdk_ui::{
-    room_list_service::filters::{
-        new_filter_all, new_filter_all_non_left, new_filter_fuzzy_match_room_name, new_filter_none,
-        new_filter_normalized_match_room_name,
+    room_list_service::{
+        filters::{
+            new_filter_all, new_filter_any, new_filter_category, new_filter_fuzzy_match_room_name,
+            new_filter_non_left, new_filter_none, new_filter_normalized_match_room_name,
+            new_filter_unread, RoomCategory,
+        },
+        BoxedFilterFn,
     },
     timeline::default_event_filter,
 };
@@ -391,19 +395,8 @@ impl RoomListDynamicEntriesController {
 #[uniffi::export]
 impl RoomListDynamicEntriesController {
     fn set_filter(&self, kind: RoomListEntriesDynamicFilterKind) -> bool {
-        use RoomListEntriesDynamicFilterKind as Kind;
-
-        match kind {
-            Kind::All => self.inner.set_filter(new_filter_all()),
-            Kind::AllNonLeft => self.inner.set_filter(new_filter_all_non_left(&self.client)),
-            Kind::None => self.inner.set_filter(new_filter_none()),
-            Kind::NormalizedMatchRoomName { pattern } => {
-                self.inner.set_filter(new_filter_normalized_match_room_name(&self.client, &pattern))
-            }
-            Kind::FuzzyMatchRoomName { pattern } => {
-                self.inner.set_filter(new_filter_fuzzy_match_room_name(&self.client, &pattern))
-            }
-        }
+        let FilterWrapper(filter) = FilterWrapper::from(&self.client, kind);
+        self.inner.set_filter(filter)
     }
 
     fn add_one_page(&self) {
@@ -417,13 +410,60 @@ impl RoomListDynamicEntriesController {
 
 #[derive(uniffi::Enum)]
 pub enum RoomListEntriesDynamicFilterKind {
-    All,
-    AllNonLeft,
+    All { filters: Vec<RoomListEntriesDynamicFilterKind> },
+    Any { filters: Vec<RoomListEntriesDynamicFilterKind> },
+    NonLeft,
+    Unread,
+    Category { expect: RoomListFilterCategory },
     None,
     NormalizedMatchRoomName { pattern: String },
     FuzzyMatchRoomName { pattern: String },
 }
 
+#[derive(uniffi::Enum)]
+pub enum RoomListFilterCategory {
+    Group,
+    People,
+}
+
+impl From<RoomListFilterCategory> for RoomCategory {
+    fn from(value: RoomListFilterCategory) -> Self {
+        match value {
+            RoomListFilterCategory::Group => Self::Group,
+            RoomListFilterCategory::People => Self::People,
+        }
+    }
+}
+
+/// Custom internal type to transform a `RoomListEntriesDynamicFilterKind` into
+/// a `BoxedFilterFn`.
+struct FilterWrapper(BoxedFilterFn);
+
+impl FilterWrapper {
+    fn from(client: &matrix_sdk::Client, value: RoomListEntriesDynamicFilterKind) -> Self {
+        use RoomListEntriesDynamicFilterKind as Kind;
+
+        match value {
+            Kind::All { filters } => Self(Box::new(new_filter_all(
+                filters.into_iter().map(|filter| FilterWrapper::from(client, filter).0).collect(),
+            ))),
+            Kind::Any { filters } => Self(Box::new(new_filter_any(
+                filters.into_iter().map(|filter| FilterWrapper::from(client, filter).0).collect(),
+            ))),
+            Kind::NonLeft => Self(Box::new(new_filter_non_left(client))),
+            Kind::Unread => Self(Box::new(new_filter_unread(client))),
+            Kind::Category { expect } => Self(Box::new(new_filter_category(client, expect.into()))),
+            Kind::None => Self(Box::new(new_filter_none())),
+            Kind::NormalizedMatchRoomName { pattern } => {
+                Self(Box::new(new_filter_normalized_match_room_name(client, &pattern)))
+            }
+            Kind::FuzzyMatchRoomName { pattern } => {
+                Self(Box::new(new_filter_fuzzy_match_room_name(client, &pattern)))
+            }
+        }
+    }
+}
+
 #[derive(uniffi::Object)]
 pub struct RoomListItem {
     inner: Arc<matrix_sdk_ui::room_list_service::Room>,
diff --git a/crates/matrix-sdk-base/src/lib.rs b/crates/matrix-sdk-base/src/lib.rs
index 83e18c5622e..dd5218ef351 100644
--- a/crates/matrix-sdk-base/src/lib.rs
+++ b/crates/matrix-sdk-base/src/lib.rs
@@ -31,7 +31,7 @@ pub mod latest_event;
 pub mod media;
 mod rooms;
 
-mod read_receipts;
+pub mod read_receipts;
 pub use read_receipts::PreviousEventsProvider;
 #[cfg(feature = "experimental-sliding-sync")]
 mod sliding_sync;
diff --git a/crates/matrix-sdk-base/src/read_receipts.rs b/crates/matrix-sdk-base/src/read_receipts.rs
index 8cb5e2356ff..43cab3355a0 100644
--- a/crates/matrix-sdk-base/src/read_receipts.rs
+++ b/crates/matrix-sdk-base/src/read_receipts.rs
@@ -15,9 +15,9 @@
 //! # Client-side read receipts computation
 //!
 //! While Matrix servers have the ability to provide basic information about the
-//! unread status of rooms, via [`matrix_sdk::ruma::UnreadNotificationCounts`],
-//! it's not reliable for encrypted rooms. Indeed, the server doesn't have
-//! access to the content of encrypted events, so it can only makes guesses when
+//! unread status of rooms, via [`crate::sync::UnreadNotificationsCount`], it's
+//! not reliable for encrypted rooms. Indeed, the server doesn't have access to
+//! the content of encrypted events, so it can only makes guesses when
 //! estimating unread and highlight counts.
 //!
 //! Instead, this module provides facilities to compute the number of unread
@@ -36,8 +36,8 @@
 //! `marks_as_unread` function shows the opiniated set of rules that will filter
 //! out uninterested events.
 //!
-//! The only public method in that module is [`compute_unread_counts`], which
-//! updates the `RoomInfo` in place according to the new counts.
+//! The only `pub(crate)` method in that module is `compute_unread_counts`,
+//! which updates the `RoomInfo` in place according to the new counts.
 //!
 //! ## Implementation details: How to get the latest receipt?
 //!
diff --git a/crates/matrix-sdk-base/src/rooms/normal.rs b/crates/matrix-sdk-base/src/rooms/normal.rs
index 96be0c34b34..240382b040d 100644
--- a/crates/matrix-sdk-base/src/rooms/normal.rs
+++ b/crates/matrix-sdk-base/src/rooms/normal.rs
@@ -347,6 +347,12 @@ impl Room {
         self.inner.read().base_info.dm_targets.clone()
     }
 
+    /// If this room is a direct message, returns the number of members that
+    /// we're sharing the room with.
+    pub fn direct_targets_length(&self) -> usize {
+        self.inner.read().base_info.dm_targets.len()
+    }
+
     /// Is the room encrypted.
     pub fn is_encrypted(&self) -> bool {
         self.inner.read().is_encrypted()
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/all.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/all.rs
index f12c613df20..8470e6c982b 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/all.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/all.rs
@@ -1,10 +1,9 @@
-use matrix_sdk::RoomListEntry;
+use super::{super::room_list::BoxedFilterFn, Filter};
 
-/// Create a new filter that will accept all filled or invalidated entries.
-pub fn new_filter() -> impl Fn(&RoomListEntry) -> bool {
-    |room_list_entry| -> bool {
-        matches!(room_list_entry, RoomListEntry::Filled(_) | RoomListEntry::Invalidated(_))
-    }
+/// Create a new filter that will run multiple filters. It returns `false` if at
+/// least one of the filter returns `false`.
+pub fn new_filter(filters: Vec<BoxedFilterFn>) -> impl Filter {
+    move |room_list_entry| -> bool { filters.iter().all(|filter| filter(room_list_entry)) }
 }
 
 #[cfg(test)]
@@ -17,11 +16,58 @@ mod tests {
     use super::new_filter;
 
     #[test]
-    fn test_all_kind_of_room_list_entry() {
-        let all = new_filter();
+    fn test_one_filter() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        {
+            let filter = |_: &_| true;
+            let all = new_filter(vec![Box::new(filter)]);
+
+            assert!(all(&room_list_entry));
+        }
+
+        {
+            let filter = |_: &_| false;
+            let all = new_filter(vec![Box::new(filter)]);
+
+            assert!(all(&room_list_entry).not());
+        }
+    }
+
+    #[test]
+    fn test_two_filters() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        {
+            let filter1 = |_: &_| true;
+            let filter2 = |_: &_| true;
+            let all = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+            assert!(all(&room_list_entry));
+        }
+
+        {
+            let filter1 = |_: &_| true;
+            let filter2 = |_: &_| false;
+            let all = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+            assert!(all(&room_list_entry).not());
+        }
+
+        {
+            let filter1 = |_: &_| false;
+            let filter2 = |_: &_| true;
+            let all = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+            assert!(all(&room_list_entry).not());
+        }
+
+        {
+            let filter1 = |_: &_| false;
+            let filter2 = |_: &_| false;
+            let all = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
 
-        assert!(all(&RoomListEntry::Empty).not());
-        assert!(all(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
-        assert!(all(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
+            assert!(all(&room_list_entry).not());
+        }
     }
 }
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/any.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/any.rs
new file mode 100644
index 00000000000..dd92ddf73f7
--- /dev/null
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/any.rs
@@ -0,0 +1,81 @@
+use super::{super::room_list::BoxedFilterFn, Filter};
+
+/// Create a new filter that will run multiple filters. It returns `true` if at
+/// least one of the filter returns `true`.
+pub fn new_filter(filters: Vec<BoxedFilterFn>) -> impl Filter {
+    move |room_list_entry| -> bool { filters.iter().any(|filter| filter(room_list_entry)) }
+}
+
+#[cfg(test)]
+mod tests {
+    use std::ops::Not;
+
+    use matrix_sdk::RoomListEntry;
+    use ruma::room_id;
+
+    use super::new_filter;
+
+    #[test]
+    fn test_one_filter_is_true() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter = |_: &_| true;
+        let any = new_filter(vec![Box::new(filter)]);
+
+        assert!(any(&room_list_entry));
+    }
+
+    #[test]
+    fn test_one_filter_is_false() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter = |_: &_| false;
+        let any = new_filter(vec![Box::new(filter)]);
+
+        assert!(any(&room_list_entry).not());
+    }
+
+    #[test]
+    fn test_two_filters_with_true_true() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter1 = |_: &_| true;
+        let filter2 = |_: &_| true;
+        let any = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+        assert!(any(&room_list_entry));
+    }
+
+    #[test]
+    fn test_two_filters_with_true_false() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter1 = |_: &_| true;
+        let filter2 = |_: &_| false;
+        let any = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+        assert!(any(&room_list_entry));
+    }
+
+    #[test]
+    fn test_two_filters_with_false_true() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter1 = |_: &_| false;
+        let filter2 = |_: &_| true;
+        let any = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+        assert!(any(&room_list_entry));
+    }
+
+    #[test]
+    fn test_two_filters_with_false_false() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter1 = |_: &_| false;
+        let filter2 = |_: &_| false;
+        let any = new_filter(vec![Box::new(filter1), Box::new(filter2)]);
+
+        assert!(any(&room_list_entry).not());
+    }
+}
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/category.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/category.rs
new file mode 100644
index 00000000000..f7041ca14a3
--- /dev/null
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/category.rs
@@ -0,0 +1,186 @@
+use matrix_sdk::{Client, RoomListEntry};
+
+use super::Filter;
+
+/// An enum to represent whether a room is about “people” (strictly 2 users) or
+/// “group” (1 or more than 2 users).
+///
+/// Ideally, we would only want to rely on the
+/// [`matrix_sdk::BaseRoom::is_direct`] method, but the rules are a little bit
+/// different for this high-level UI API.
+///
+/// This is implemented this way so that it's impossible to filter by “group”
+/// and by “people” at the same time: these criteria are mutually
+/// exclusive by design per filter.
+#[derive(Copy, Clone, PartialEq)]
+pub enum RoomCategory {
+    Group,
+    People,
+}
+
+type DirectTargetsLength = usize;
+
+struct CategoryRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<DirectTargetsLength>,
+{
+    /// _Direct targets_ mean the number of users in a direct room, except us.
+    /// So if it returns 1, it means there are 2 users in the direct room.
+    number_of_direct_targets: F,
+}
+
+impl<F> CategoryRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<DirectTargetsLength>,
+{
+    fn matches(&self, room_list_entry: &RoomListEntry, expected_kind: RoomCategory) -> bool {
+        if !matches!(room_list_entry, RoomListEntry::Filled(_) | RoomListEntry::Invalidated(_)) {
+            return false;
+        }
+
+        let kind = match (self.number_of_direct_targets)(room_list_entry) {
+            // If 1, we are sure it's a direct room between two users. It's the strict
+            // definition of the `People` category, all good.
+            Some(1) => RoomCategory::People,
+
+            // If smaller than 1, we are not sure it's a direct room, it's then a `Group`.
+            // If greater than 1, we are sure it's a direct room but not between
+            // two users, so it's a `Group` based on our expectation.
+            Some(_) => RoomCategory::Group,
+
+            // Don't know.
+            None => return false,
+        };
+
+        kind == expected_kind
+    }
+}
+
+/// Create a new filter that will accept all filled or invalidated entries, and
+/// if the associated rooms fit in the `expected_category`. The category is
+/// defined by [`RoomCategory`], see this type to learn more.
+pub fn new_filter(client: &Client, expected_category: RoomCategory) -> impl Filter {
+    let client = client.clone();
+
+    let matcher = CategoryRoomMatcher {
+        number_of_direct_targets: move |room| {
+            let room_id = room.as_room_id()?;
+            let room = client.get_room(room_id)?;
+
+            Some(room.direct_targets_length())
+        },
+    };
+
+    move |room_list_entry| -> bool { matcher.matches(room_list_entry, expected_category) }
+}
+
+#[cfg(test)]
+mod tests {
+    use std::ops::Not;
+
+    use matrix_sdk::RoomListEntry;
+    use ruma::room_id;
+
+    use super::{CategoryRoomMatcher, RoomCategory};
+
+    #[test]
+    fn test_kind_is_group() {
+        let matcher = CategoryRoomMatcher { number_of_direct_targets: |_| Some(42) };
+
+        // Expect `People`.
+        {
+            let expected_kind = RoomCategory::People;
+
+            assert!(matcher.matches(&RoomListEntry::Empty, expected_kind).not());
+            assert!(
+                matcher
+                    .matches(
+                        &RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned(),),
+                        expected_kind,
+                    )
+                    .not()
+            );
+            assert!(matcher
+                .matches(
+                    &RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()),
+                    expected_kind
+                )
+                .not());
+        }
+
+        // Expect `Group`.
+        {
+            let expected_kind = RoomCategory::Group;
+
+            assert!(matcher.matches(&RoomListEntry::Empty, expected_kind).not());
+            assert!(matcher.matches(
+                &RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned(),),
+                expected_kind,
+            ));
+            assert!(matcher.matches(
+                &RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()),
+                expected_kind,
+            ));
+        }
+    }
+
+    #[test]
+    fn test_kind_is_people() {
+        let matcher = CategoryRoomMatcher { number_of_direct_targets: |_| Some(1) };
+
+        // Expect `People`.
+        {
+            let expected_kind = RoomCategory::People;
+
+            assert!(matcher.matches(&RoomListEntry::Empty, expected_kind).not());
+            assert!(matcher.matches(
+                &RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned()),
+                expected_kind,
+            ));
+            assert!(matcher.matches(
+                &RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()),
+                expected_kind
+            ));
+        }
+
+        // Expect `Group`.
+        {
+            let expected_kind = RoomCategory::Group;
+
+            assert!(matcher.matches(&RoomListEntry::Empty, expected_kind).not());
+            assert!(
+                matcher
+                    .matches(
+                        &RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned(),),
+                        expected_kind,
+                    )
+                    .not()
+            );
+            assert!(matcher
+                .matches(
+                    &RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()),
+                    expected_kind,
+                )
+                .not());
+        }
+    }
+
+    #[test]
+    fn test_room_kind_cannot_be_found() {
+        let matcher = CategoryRoomMatcher { number_of_direct_targets: |_| None };
+
+        assert!(matcher.matches(&RoomListEntry::Empty, RoomCategory::Group).not());
+        assert!(matcher
+            .matches(
+                &RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned()),
+                RoomCategory::Group
+            )
+            .not());
+        assert!(matcher
+            .matches(
+                &RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()),
+                RoomCategory::Group
+            )
+            .not());
+    }
+}
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/fuzzy_match_room_name.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/fuzzy_match_room_name.rs
index 1a0e2d634e6..9e8e672fd04 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/fuzzy_match_room_name.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/fuzzy_match_room_name.rs
@@ -1,7 +1,7 @@
 pub use fuzzy_matcher::{skim::SkimMatcherV2, FuzzyMatcher as _};
-use matrix_sdk::{Client, RoomListEntry};
+use matrix_sdk::Client;
 
-use super::normalize_string;
+use super::{normalize_string, Filter};
 
 struct FuzzyMatcher {
     matcher: SkimMatcherV2,
@@ -19,7 +19,7 @@ impl FuzzyMatcher {
         self
     }
 
-    fn fuzzy_match(&self, subject: &str) -> bool {
+    fn matches(&self, subject: &str) -> bool {
         // No pattern means there is a match.
         let Some(pattern) = self.pattern.as_ref() else { return true };
 
@@ -31,7 +31,7 @@ impl FuzzyMatcher {
 ///
 /// Rooms are fetched from the `Client`. The pattern and the room names are
 /// normalized with `normalize_string`.
-pub fn new_filter(client: &Client, pattern: &str) -> impl Fn(&RoomListEntry) -> bool {
+pub fn new_filter(client: &Client, pattern: &str) -> impl Filter {
     let searcher = FuzzyMatcher::new().with_pattern(pattern);
 
     let client = client.clone();
@@ -41,7 +41,7 @@ pub fn new_filter(client: &Client, pattern: &str) -> impl Fn(&RoomListEntry) ->
         let Some(room) = client.get_room(room_id) else { return false };
         let Some(room_name) = room.name() else { return false };
 
-        searcher.fuzzy_match(&room_name)
+        searcher.matches(&room_name)
     }
 }
 
@@ -55,14 +55,14 @@ mod tests {
     fn test_no_pattern() {
         let matcher = FuzzyMatcher::new();
 
-        assert!(matcher.fuzzy_match("hello"));
+        assert!(matcher.matches("hello"));
     }
 
     #[test]
     fn test_empty_pattern() {
         let matcher = FuzzyMatcher::new();
 
-        assert!(matcher.fuzzy_match("hello"));
+        assert!(matcher.matches("hello"));
     }
 
     #[test]
@@ -70,10 +70,10 @@ mod tests {
         let matcher = FuzzyMatcher::new();
 
         let matcher = matcher.with_pattern("mtx");
-        assert!(matcher.fuzzy_match("matrix"));
+        assert!(matcher.matches("matrix"));
 
         let matcher = matcher.with_pattern("mxt");
-        assert!(matcher.fuzzy_match("matrix").not());
+        assert!(matcher.matches("matrix").not());
     }
 
     #[test]
@@ -81,10 +81,10 @@ mod tests {
         let matcher = FuzzyMatcher::new();
 
         let matcher = matcher.with_pattern("mtx");
-        assert!(matcher.fuzzy_match("MaTrIX"));
+        assert!(matcher.matches("MaTrIX"));
 
         let matcher = matcher.with_pattern("mxt");
-        assert!(matcher.fuzzy_match("MaTrIX").not());
+        assert!(matcher.matches("MaTrIX").not());
     }
 
     #[test]
@@ -92,12 +92,12 @@ mod tests {
         let matcher = FuzzyMatcher::new();
 
         let matcher = matcher.with_pattern("mtx");
-        assert!(matcher.fuzzy_match("matrix"));
-        assert!(matcher.fuzzy_match("Matrix"));
+        assert!(matcher.matches("matrix"));
+        assert!(matcher.matches("Matrix"));
 
         let matcher = matcher.with_pattern("Mtx");
-        assert!(matcher.fuzzy_match("matrix").not());
-        assert!(matcher.fuzzy_match("Matrix"));
+        assert!(matcher.matches("matrix").not());
+        assert!(matcher.matches("Matrix"));
     }
 
     #[test]
@@ -110,10 +110,10 @@ mod tests {
         assert_eq!(matcher.pattern, Some("ubete".to_owned()));
 
         // Second, assert that the subject is normalized too.
-        assert!(matcher.fuzzy_match("un bel été"));
+        assert!(matcher.matches("un bel été"));
 
         // Another concrete test.
         let matcher = matcher.with_pattern("stf");
-        assert!(matcher.fuzzy_match("Ștefan"));
+        assert!(matcher.matches("Ștefan"));
     }
 }
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/mod.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/mod.rs
index b1beefa850d..794a2ddff41 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/mod.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/mod.rs
@@ -1,15 +1,32 @@
 mod all;
-mod all_non_left;
+mod any;
+mod category;
 mod fuzzy_match_room_name;
+mod non_left;
 mod none;
 mod normalized_match_room_name;
+mod not;
+mod unread;
 
 pub use all::new_filter as new_filter_all;
-pub use all_non_left::new_filter as new_filter_all_non_left;
+pub use any::new_filter as new_filter_any;
+pub use category::{new_filter as new_filter_category, RoomCategory};
 pub use fuzzy_match_room_name::new_filter as new_filter_fuzzy_match_room_name;
+use matrix_sdk::RoomListEntry;
+pub use non_left::new_filter as new_filter_non_left;
 pub use none::new_filter as new_filter_none;
 pub use normalized_match_room_name::new_filter as new_filter_normalized_match_room_name;
+pub use not::new_filter as new_filter_not;
 use unicode_normalization::{char::is_combining_mark, UnicodeNormalization};
+pub use unread::new_filter as new_filter_unread;
+
+/// A trait “alias” that represents a _filter_.
+///
+/// A filter is simply a function that receives a `&RoomListEntry` and returns a
+/// `bool`.
+pub trait Filter: Fn(&RoomListEntry) -> bool {}
+
+impl<F> Filter for F where F: Fn(&RoomListEntry) -> bool {}
 
 /// Normalize a string, i.e. decompose it into NFD (Normalization Form D, i.e. a
 /// canonical decomposition, see http://www.unicode.org/reports/tr15/) and
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/all_non_left.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/non_left.rs
similarity index 75%
rename from crates/matrix-sdk-ui/src/room_list_service/filters/all_non_left.rs
rename to crates/matrix-sdk-ui/src/room_list_service/filters/non_left.rs
index 34d8348848f..b31750772cb 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/all_non_left.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/non_left.rs
@@ -1,17 +1,25 @@
 use matrix_sdk::{Client, RoomListEntry};
 use matrix_sdk_base::RoomState;
 
-struct NonLeftRoomMatcher<F: Fn(&RoomListEntry) -> Option<RoomState>> {
-    get_state: F,
+use super::Filter;
+
+struct NonLeftRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<RoomState>,
+{
+    state: F,
 }
 
-impl<F: Fn(&RoomListEntry) -> Option<RoomState>> NonLeftRoomMatcher<F> {
+impl<F> NonLeftRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<RoomState>,
+{
     fn matches(&self, room: &RoomListEntry) -> bool {
         if !matches!(room, RoomListEntry::Filled(_) | RoomListEntry::Invalidated(_)) {
             return false;
         }
 
-        if let Some(state) = (self.get_state)(room) {
+        if let Some(state) = (self.state)(room) {
             state != RoomState::Left
         } else {
             false
@@ -21,11 +29,11 @@ impl<F: Fn(&RoomListEntry) -> Option<RoomState>> NonLeftRoomMatcher<F> {
 
 /// Create a new filter that will accept all filled or invalidated entries, but
 /// filters out left rooms.
-pub fn new_filter(client: &Client) -> impl Fn(&RoomListEntry) -> bool {
+pub fn new_filter(client: &Client) -> impl Filter {
     let client = client.clone();
 
     let matcher = NonLeftRoomMatcher {
-        get_state: move |room| {
+        state: move |room| {
             let room_id = room.as_room_id()?;
             let room = client.get_room(room_id)?;
             Some(room.state())
@@ -41,24 +49,24 @@ mod tests {
     use matrix_sdk_base::RoomState;
     use ruma::room_id;
 
-    use crate::room_list_service::filters::all_non_left::NonLeftRoomMatcher;
+    use super::NonLeftRoomMatcher;
 
     #[test]
     fn test_all_non_left_kind_of_room_list_entry() {
         // When we can't figure out the room state, nothing matches.
-        let matcher = NonLeftRoomMatcher { get_state: |_| None };
+        let matcher = NonLeftRoomMatcher { state: |_| None };
         assert!(!matcher.matches(&RoomListEntry::Empty));
         assert!(!matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
         assert!(!matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
 
         // When a room has been left, it doesn't match.
-        let matcher = NonLeftRoomMatcher { get_state: |_| Some(RoomState::Left) };
+        let matcher = NonLeftRoomMatcher { state: |_| Some(RoomState::Left) };
         assert!(!matcher.matches(&RoomListEntry::Empty));
         assert!(!matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
         assert!(!matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
 
         // When a room has been joined, it does match (unless it's empty).
-        let matcher = NonLeftRoomMatcher { get_state: |_| Some(RoomState::Joined) };
+        let matcher = NonLeftRoomMatcher { state: |_| Some(RoomState::Joined) };
         assert!(!matcher.matches(&RoomListEntry::Empty));
         assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
         assert!(matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/none.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/none.rs
index a500fe7de86..99e97be9c24 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/none.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/none.rs
@@ -1,7 +1,7 @@
-use matrix_sdk::RoomListEntry;
+use super::Filter;
 
 /// Create a new filter that will reject all entries.
-pub fn new_filter() -> impl Fn(&RoomListEntry) -> bool {
+pub fn new_filter() -> impl Filter {
     |_room_list_entry| -> bool { false }
 }
 
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/normalized_match_room_name.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/normalized_match_room_name.rs
index 7ee8fab5b0a..c0a49602de6 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/filters/normalized_match_room_name.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/normalized_match_room_name.rs
@@ -1,6 +1,6 @@
-use matrix_sdk::{Client, RoomListEntry};
+use matrix_sdk::Client;
 
-use super::normalize_string;
+use super::{normalize_string, Filter};
 
 struct NormalizedMatcher {
     pattern: Option<String>,
@@ -17,7 +17,7 @@ impl NormalizedMatcher {
         self
     }
 
-    fn normalized_match(&self, subject: &str) -> bool {
+    fn matches(&self, subject: &str) -> bool {
         // No pattern means there is a match.
         let Some(pattern) = self.pattern.as_ref() else { return true };
 
@@ -31,7 +31,7 @@ impl NormalizedMatcher {
 ///
 /// Rooms are fetched from the `Client`. The pattern and the room names are
 /// normalized with `normalize_string`.
-pub fn new_filter(client: &Client, pattern: &str) -> impl Fn(&RoomListEntry) -> bool {
+pub fn new_filter(client: &Client, pattern: &str) -> impl Filter {
     let searcher = NormalizedMatcher::new().with_pattern(pattern);
 
     let client = client.clone();
@@ -41,7 +41,7 @@ pub fn new_filter(client: &Client, pattern: &str) -> impl Fn(&RoomListEntry) ->
         let Some(room) = client.get_room(room_id) else { return false };
         let Some(room_name) = room.name() else { return false };
 
-        searcher.normalized_match(&room_name)
+        searcher.matches(&room_name)
     }
 }
 
@@ -55,14 +55,14 @@ mod tests {
     fn test_no_pattern() {
         let matcher = NormalizedMatcher::new();
 
-        assert!(matcher.normalized_match("hello"));
+        assert!(matcher.matches("hello"));
     }
 
     #[test]
     fn test_empty_pattern() {
         let matcher = NormalizedMatcher::new();
 
-        assert!(matcher.normalized_match("hello"));
+        assert!(matcher.matches("hello"));
     }
 
     #[test]
@@ -70,10 +70,10 @@ mod tests {
         let matcher = NormalizedMatcher::new();
 
         let matcher = matcher.with_pattern("matrix");
-        assert!(matcher.normalized_match("matrix"));
+        assert!(matcher.matches("matrix"));
 
         let matcher = matcher.with_pattern("matrxi");
-        assert!(matcher.normalized_match("matrix").not());
+        assert!(matcher.matches("matrix").not());
     }
 
     #[test]
@@ -81,10 +81,10 @@ mod tests {
         let matcher = NormalizedMatcher::new();
 
         let matcher = matcher.with_pattern("matrix");
-        assert!(matcher.normalized_match("MaTrIX"));
+        assert!(matcher.matches("MaTrIX"));
 
         let matcher = matcher.with_pattern("matrxi");
-        assert!(matcher.normalized_match("MaTrIX").not());
+        assert!(matcher.matches("MaTrIX").not());
     }
 
     #[test]
@@ -97,10 +97,10 @@ mod tests {
         assert_eq!(matcher.pattern, Some("un ete".to_owned()));
 
         // Second, assert that the subject is normalized too.
-        assert!(matcher.normalized_match("un été magnifique"));
+        assert!(matcher.matches("un été magnifique"));
 
         // Another concrete test.
         let matcher = matcher.with_pattern("stefan");
-        assert!(matcher.normalized_match("Ștefan"));
+        assert!(matcher.matches("Ștefan"));
     }
 }
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/not.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/not.rs
new file mode 100644
index 00000000000..b0a63d73689
--- /dev/null
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/not.rs
@@ -0,0 +1,39 @@
+use std::ops::Not;
+
+use super::{super::room_list::BoxedFilterFn, Filter};
+
+/// Create a new filter that will negate the inner filter. It returns `false` if
+/// the inner filter returns `true`, otherwise it returns `true`.
+pub fn new_filter(filter: BoxedFilterFn) -> impl Filter {
+    move |room_list_entry| -> bool { filter(room_list_entry).not() }
+}
+
+#[cfg(test)]
+mod tests {
+    use std::ops::Not;
+
+    use matrix_sdk::RoomListEntry;
+    use ruma::room_id;
+
+    use super::new_filter;
+
+    #[test]
+    fn test_true() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter = Box::new(|_: &_| true);
+        let not = new_filter(filter);
+
+        assert!(not(&room_list_entry).not());
+    }
+
+    #[test]
+    fn test_false() {
+        let room_list_entry = RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned());
+
+        let filter = Box::new(|_: &_| false);
+        let not = new_filter(filter);
+
+        assert!(not(&room_list_entry));
+    }
+}
diff --git a/crates/matrix-sdk-ui/src/room_list_service/filters/unread.rs b/crates/matrix-sdk-ui/src/room_list_service/filters/unread.rs
new file mode 100644
index 00000000000..d78911bc899
--- /dev/null
+++ b/crates/matrix-sdk-ui/src/room_list_service/filters/unread.rs
@@ -0,0 +1,153 @@
+use matrix_sdk::{Client, RoomListEntry};
+use matrix_sdk_base::read_receipts::RoomReadReceipts;
+
+use super::Filter;
+
+type IsMarkedUnread = bool;
+
+struct UnreadRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<(RoomReadReceipts, IsMarkedUnread)>,
+{
+    read_receipts_and_unread: F,
+}
+
+impl<F> UnreadRoomMatcher<F>
+where
+    F: Fn(&RoomListEntry) -> Option<(RoomReadReceipts, IsMarkedUnread)>,
+{
+    fn matches(&self, room_list_entry: &RoomListEntry) -> bool {
+        if !matches!(room_list_entry, RoomListEntry::Filled(_) | RoomListEntry::Invalidated(_)) {
+            return false;
+        }
+
+        let Some((read_receipts, is_marked_unread)) =
+            (self.read_receipts_and_unread)(room_list_entry)
+        else {
+            return false;
+        };
+
+        read_receipts.num_notifications > 0 || is_marked_unread
+    }
+}
+
+/// Create a new filter that will accept all filled or invalidated entries, but
+/// filters out rooms that have no unread notifications (different from unread
+/// messages), or is not marked as unread.
+pub fn new_filter(client: &Client) -> impl Filter {
+    let client = client.clone();
+
+    let matcher = UnreadRoomMatcher {
+        read_receipts_and_unread: move |room| {
+            let room_id = room.as_room_id()?;
+            let room = client.get_room(room_id)?;
+
+            Some((room.read_receipts(), room.is_marked_unread()))
+        },
+    };
+
+    move |room_list_entry| -> bool { matcher.matches(room_list_entry) }
+}
+
+#[cfg(test)]
+mod tests {
+    use std::ops::Not;
+
+    use matrix_sdk::RoomListEntry;
+    use matrix_sdk_base::read_receipts::RoomReadReceipts;
+    use ruma::room_id;
+
+    use super::UnreadRoomMatcher;
+
+    #[test]
+    fn test_has_unread_notifications() {
+        for is_marked_as_unread in [true, false] {
+            let matcher = UnreadRoomMatcher {
+                read_receipts_and_unread: |_| {
+                    let mut read_receipts = RoomReadReceipts::default();
+                    read_receipts.num_unread = 42;
+                    read_receipts.num_notifications = 42;
+
+                    Some((read_receipts, is_marked_as_unread))
+                },
+            };
+
+            assert!(matcher.matches(&RoomListEntry::Empty).not());
+            assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
+            assert!(
+                matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()))
+            );
+        }
+    }
+
+    #[test]
+    fn test_has_unread_messages_but_no_unread_notifications_and_is_not_marked_as_unread() {
+        let matcher = UnreadRoomMatcher {
+            read_receipts_and_unread: |_| {
+                let mut read_receipts = RoomReadReceipts::default();
+                read_receipts.num_unread = 42;
+                read_receipts.num_notifications = 0;
+
+                Some((read_receipts, false))
+            },
+        };
+
+        assert!(matcher.matches(&RoomListEntry::Empty).not());
+        assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())).not());
+        assert!(matcher
+            .matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()))
+            .not());
+    }
+
+    #[test]
+    fn test_has_unread_messages_but_no_unread_notifications_and_is_marked_as_unread() {
+        let matcher = UnreadRoomMatcher {
+            read_receipts_and_unread: |_| {
+                let mut read_receipts = RoomReadReceipts::default();
+                read_receipts.num_unread = 42;
+                read_receipts.num_notifications = 0;
+
+                Some((read_receipts, true))
+            },
+        };
+
+        assert!(matcher.matches(&RoomListEntry::Empty).not());
+        assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
+        assert!(matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
+    }
+
+    #[test]
+    fn test_has_no_unread_notifications_and_is_not_marked_as_unread() {
+        let matcher = UnreadRoomMatcher {
+            read_receipts_and_unread: |_| Some((RoomReadReceipts::default(), false)),
+        };
+
+        assert!(matcher.matches(&RoomListEntry::Empty).not());
+        assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())).not());
+        assert!(matcher
+            .matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()))
+            .not());
+    }
+
+    #[test]
+    fn test_has_no_unread_notifications_and_is_marked_as_unread() {
+        let matcher = UnreadRoomMatcher {
+            read_receipts_and_unread: |_| Some((RoomReadReceipts::default(), true)),
+        };
+
+        assert!(matcher.matches(&RoomListEntry::Empty).not());
+        assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())));
+        assert!(matcher.matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned())));
+    }
+
+    #[test]
+    fn test_read_receipts_cannot_be_found() {
+        let matcher = UnreadRoomMatcher { read_receipts_and_unread: |_| None };
+
+        assert!(matcher.matches(&RoomListEntry::Empty).not());
+        assert!(matcher.matches(&RoomListEntry::Filled(room_id!("!r0:bar.org").to_owned())).not());
+        assert!(matcher
+            .matches(&RoomListEntry::Invalidated(room_id!("!r0:bar.org").to_owned()))
+            .not());
+    }
+}
diff --git a/crates/matrix-sdk-ui/src/room_list_service/room_list.rs b/crates/matrix-sdk-ui/src/room_list_service/room_list.rs
index 405514978bd..93d1e67636b 100644
--- a/crates/matrix-sdk-ui/src/room_list_service/room_list.rs
+++ b/crates/matrix-sdk-ui/src/room_list_service/room_list.rs
@@ -26,7 +26,7 @@ use matrix_sdk::{
     RoomListEntry, SlidingSync, SlidingSyncList,
 };
 
-use super::{Error, State};
+use super::{filters::Filter, Error, State};
 
 /// A `RoomList` represents a list of rooms, from a
 /// [`RoomListService`](super::RoomListService).
@@ -199,7 +199,8 @@ pub enum RoomListLoadingState {
     },
 }
 
-type BoxedFilterFn = Box<dyn Fn(&RoomListEntry) -> bool + Send + Sync>;
+/// Type alias for a boxed filter function.
+pub type BoxedFilterFn = Box<dyn Filter + Send + Sync>;
 
 /// Controller for the [`RoomList`] dynamic entries.
 ///
@@ -226,17 +227,14 @@ impl RoomListDynamicEntriesController {
     ///
     /// If the associated stream has been dropped, returns `false` to indicate
     /// the operation didn't have an effect.
-    pub fn set_filter(
-        &self,
-        filter: impl Fn(&RoomListEntry) -> bool + Send + Sync + 'static,
-    ) -> bool {
+    pub fn set_filter(&self, filter: BoxedFilterFn) -> bool {
         if Arc::strong_count(&self.filter) == 1 {
             // there is no other reference to the boxed filter fn, setting it
             // would be pointless (no new references can be created from self,
             // either)
             false
         } else {
-            self.filter.set(Box::new(filter));
+            self.filter.set(filter);
             true
         }
     }
diff --git a/crates/matrix-sdk-ui/tests/integration/room_list_service.rs b/crates/matrix-sdk-ui/tests/integration/room_list_service.rs
index ab035dabebd..276e5428094 100644
--- a/crates/matrix-sdk-ui/tests/integration/room_list_service.rs
+++ b/crates/matrix-sdk-ui/tests/integration/room_list_service.rs
@@ -12,7 +12,7 @@ use matrix_sdk_base::sync::UnreadNotificationsCount;
 use matrix_sdk_test::async_test;
 use matrix_sdk_ui::{
     room_list_service::{
-        filters::{new_filter_all, new_filter_fuzzy_match_room_name, new_filter_none},
+        filters::{new_filter_fuzzy_match_room_name, new_filter_non_left, new_filter_none},
         Error, Input, InputResult, RoomListEntry, RoomListLoadingState, State, SyncIndicator,
         ALL_ROOMS_LIST_NAME as ALL_ROOMS, INVITES_LIST_NAME as INVITES,
         VISIBLE_ROOMS_LIST_NAME as VISIBLE_ROOMS,
@@ -1643,7 +1643,7 @@ async fn test_dynamic_entries_stream() -> Result<(), Error> {
     assert_pending!(dynamic_entries_stream);
 
     // Now, let's define a filter.
-    dynamic_entries.set_filter(new_filter_fuzzy_match_room_name(&client, "mat ba"));
+    dynamic_entries.set_filter(Box::new(new_filter_fuzzy_match_room_name(&client, "mat ba")));
 
     // Assert the dynamic entries.
     assert_entries_batch! {
@@ -1799,7 +1799,7 @@ async fn test_dynamic_entries_stream() -> Result<(), Error> {
     assert_pending!(dynamic_entries_stream);
 
     // Now, let's change the dynamic entries!
-    dynamic_entries.set_filter(new_filter_fuzzy_match_room_name(&client, "hell"));
+    dynamic_entries.set_filter(Box::new(new_filter_fuzzy_match_room_name(&client, "hell")));
 
     // Assert the dynamic entries.
     assert_entries_batch! {
@@ -1811,7 +1811,7 @@ async fn test_dynamic_entries_stream() -> Result<(), Error> {
     assert_pending!(dynamic_entries_stream);
 
     // Now, let's change again the dynamic filter!
-    dynamic_entries.set_filter(new_filter_none());
+    dynamic_entries.set_filter(Box::new(new_filter_none()));
 
     // Assert the dynamic entries.
     assert_entries_batch! {
@@ -1822,7 +1822,7 @@ async fn test_dynamic_entries_stream() -> Result<(), Error> {
     };
 
     // Now, let's change again the dynamic filter!
-    dynamic_entries.set_filter(new_filter_all());
+    dynamic_entries.set_filter(Box::new(new_filter_non_left(&client)));
 
     // Assert the dynamic entries.
     assert_entries_batch! {