diff --git a/mitmproxy/proxy/layers/http/_http3.py b/mitmproxy/proxy/layers/http/_http3.py
index 4ee46c94f..3275fcd1a 100644
--- a/mitmproxy/proxy/layers/http/_http3.py
+++ b/mitmproxy/proxy/layers/http/_http3.py
@@ -162,19 +162,23 @@ class Http3Connection(HttpConnection):
             yield from self.h3_conn.transmit()
 
         # report a protocol error for all remaining open streams when a connection is closed
-        elif isinstance(event, events.ConnectionClosed):
+        elif isinstance(event, QuicConnectionClosed):
             self._handle_event = self.done  # type: ignore
-            if isinstance(event, QuicConnectionClosed):
-                msg = event.reason_phrase or error_code_to_str(event.error_code)
-            else:
-                msg = "peer closed connection"
+            msg = event.reason_phrase or error_code_to_str(event.error_code)
             for stream_id in self.h3_conn.get_reserved_stream_ids():
                 yield ReceiveHttp(self.ReceiveProtocolError(stream_id, msg))
+            # turn `QuicErrorCode.NO_ERROR` into `H3ErrorCode.H3_NO_ERROR`
+            self.h3_conn.close_connection(
+                event.error_code or H3ErrorCode.H3_NO_ERROR,
+                event.frame_type,
+                event.reason_phrase,
+            )
+            yield from self.h3_conn.transmit()
 
         else:
             raise AssertionError(f"Unexpected event: {event!r}")
 
-    @expect(QuicStreamEvent, HttpEvent, events.ConnectionClosed)
+    @expect(HttpEvent, QuicStreamEvent, QuicConnectionClosed)
     def done(self, _) -> layer.CommandGenerator[None]:
         yield from ()
 
diff --git a/mitmproxy/proxy/layers/http/_http_h3.py b/mitmproxy/proxy/layers/http/_http_h3.py
index d70a44163..d4573ca85 100644
--- a/mitmproxy/proxy/layers/http/_http_h3.py
+++ b/mitmproxy/proxy/layers/http/_http_h3.py
@@ -143,11 +143,16 @@ class LayeredH3Connection(H3Connection):
                 events[index] = TrailersReceived(event.headers, event.stream_id, event.stream_ended, event.push_id)
         return events
 
-    def close_connection(self, error_code: int = QuicErrorCode.NO_ERROR, reason_phrase: str = "") -> None:
+    def close_connection(
+        self,
+        error_code: int = QuicErrorCode.NO_ERROR,
+        frame_type: Optional[int] = None,
+        reason_phrase: str = "",
+    ) -> None:
         """Closes the underlying QUIC connection and ignores any incoming events."""
 
         self._is_done = True
-        self._quic.close(error_code=error_code, reason_phrase=reason_phrase)
+        self._quic.close(error_code, frame_type, reason_phrase)
 
     def end_stream(self, stream_id: int) -> None:
         """Ends the given stream locally."""
diff --git a/mitmproxy/proxy/layers/quic.py b/mitmproxy/proxy/layers/quic.py
index 32cac1154..b5fdb41c1 100644
--- a/mitmproxy/proxy/layers/quic.py
+++ b/mitmproxy/proxy/layers/quic.py
@@ -927,7 +927,7 @@ class QuicLayer(tunnel.TunnelLayer):
         # if `_close_event` is not set, the underlying connection has been closed
         # we turn this into a QUIC close event as well
         close_event = self.quic._close_event or quic_events.ConnectionTerminated(
-            QuicErrorCode.APPLICATION_ERROR, None, "Connection closed."
+            QuicErrorCode.NO_ERROR, None, "Connection closed."
         )
         yield from self.event_to_child(
             QuicConnectionClosed(self.conn, close_event.error_code, close_event.frame_type, close_event.reason_phrase)