diff --git a/anydi/_context.py b/anydi/_context.py
index 0f9bf36..7be2e37 100644
--- a/anydi/_context.py
+++ b/anydi/_context.py
@@ -138,7 +138,10 @@ def __exit__(
     ) -> Any:
         """Exit the context."""
         self._reject_async_resources()
-        return self._exit_stack(exc_type, exc_val, exc_tb)
+        try:
+            return self._exit_stack(exc_type, exc_val, exc_tb)
+        finally:
+            self._forget_closed()
 
     def _exit_stack(
         self,
@@ -182,12 +185,22 @@ async def __aexit__(
             )
         if self._async_stack is not None:
             async_exit = await self._async_stack.__aexit__(exc_type, exc_val, exc_tb)
+        self._forget_closed()
         return bool(sync_exit) or bool(async_exit)
 
     async def aclose(self) -> None:
         """Close the scoped context asynchronously."""
         await self.__aexit__(None, None, None)
 
+    def _forget_closed(self) -> None:
+        """Drop the instances whose resources this context closed."""
+        for key in (*self._closers, *self._aclosers):
+            self._items.pop(key, None)
+        self._closers.clear()
+        self._aclosers.clear()
+        self._stack = None
+        self._async_stack = None
+
     def lock(self) -> threading.RLock:
         """Acquire the context lock."""
         if self._lock is None:
diff --git a/tests/test_container.py b/tests/test_container.py
index 8c89591..db27f65 100644
--- a/tests/test_container.py
+++ b/tests/test_container.py
@@ -2023,6 +2023,43 @@ def test_release_transient_instance(self, container: Container) -> None:
 
         assert not container.is_resolved(str)
 
+    def test_a_reopened_container_makes_the_resource_again(
+        self, container: Container
+    ) -> None:
+        events = []
+
+        def provide_conn() -> Iterator[str]:
+            events.append("open")
+            yield "conn"
+            events.append("close")
+
+        container.register(str, provide_conn, scope="singleton")
+
+        with container:
+            container.resolve(str)
+        with container:
+            container.resolve(str)
+
+        assert events == ["open", "close", "open", "close"]
+
+    def test_a_reopened_container_keeps_what_it_did_not_close(
+        self, container: Container
+    ) -> None:
+        made = []
+
+        class Service:
+            def __init__(self) -> None:
+                made.append(self)
+
+        container.register(Service, Service, scope="singleton")
+
+        with container:
+            first = container.resolve(Service)
+        with container:
+            assert container.resolve(Service) is first
+
+        assert len(made) == 1
+
     def test_release_forgets_an_instance_whose_finaliser_raises(
         self, container: Container
     ) -> None:
diff --git a/tests/test_ref.py b/tests/test_ref.py
index 65867b9..0b9fa70 100644
--- a/tests/test_ref.py
+++ b/tests/test_ref.py
@@ -451,20 +451,24 @@ def get_db() -> Database:
         assert db.dsn == "postgres://1"
 
     def test_ref_reflects_resolve_after_close(self, container: Container) -> None:
+        closed = []
+
         @container.provider(scope="singleton")
         def get_db() -> Iterator[Database]:
             db = Database()
             yield db
             db.closed = True
+            closed.append(db)
 
         db = container.ref(Database)
 
         with container:
             assert db.dsn == "postgres://localhost"
 
-        # Closing finalizes the resource, but the container keeps the instance
-        assert db.closed is True
-        assert db == container.resolve(Database)
+        # Closing finalizes the resource, so the reference reads a new instance
+        assert len(closed) == 1
+        assert db.closed is False
+        assert db != closed[0]
 
 
 class TestRefUsage: