diff --git a/libp2p/stream_muxer/mplex/mplex.py b/libp2p/stream_muxer/mplex/mplex.py
index 5d09b75..d85a7c2 100644
--- a/libp2p/stream_muxer/mplex/mplex.py
+++ b/libp2p/stream_muxer/mplex/mplex.py
@@ -6,6 +6,7 @@ from libp2p.exceptions import ParseError
 from libp2p.io.exceptions import IncompleteReadError
 from libp2p.network.typing import GenericProtocolHandlerFn
 from libp2p.peer.id import ID
+from libp2p.protocol_muxer.exceptions import MultiselectError
 from libp2p.security.secure_conn_interface import ISecureConn
 from libp2p.stream_muxer.abc import IMuxedConn, IMuxedStream
 from libp2p.typing import TProtocol
@@ -102,12 +103,6 @@ class Mplex(IMuxedConn):
         self.next_channel_id += 1
         return next_id
 
-    async def _initialize_stream(self, stream_id: StreamID, name: str) -> MplexStream:
-        async with self.streams_lock:
-            stream = MplexStream(name, stream_id, self)
-        self.streams[stream_id] = stream
-        return stream
-
     async def open_stream(self) -> IMuxedStream:
         """
         creates a new muxed_stream
@@ -117,17 +112,28 @@ class Mplex(IMuxedConn):
         stream_id = StreamID(channel_id=channel_id, is_initiator=True)
         # Default stream name is the `channel_id`
         name = str(channel_id)
-        stream = await self._initialize_stream(stream_id, name)
+        async with self.streams_lock:
+            stream = MplexStream(name, stream_id, self)
         await self.send_message(HeaderTags.NewStream, name.encode(), stream_id)
+        # TODO: is there a way to know if the peer accepted the stream?
+        # then we can safely register the stream
+        self.streams[stream_id] = stream
         return stream
 
     async def accept_stream(self, stream_id: StreamID, name: str) -> None:
         """
         accepts a muxed stream opened by the other end
         """
-        stream = await self._initialize_stream(stream_id, name)
+        async with self.streams_lock:
+            stream = MplexStream(name, stream_id, self)
         # Perform protocol negotiation for the stream.
-        self._tasks.append(asyncio.ensure_future(self.generic_protocol_handler(stream)))
+        try:
+            await self.generic_protocol_handler(stream)
+        except MultiselectError:
+            # TODO: what to do when stream protocol negotiation fail?
+            return
+
+        self.streams[stream_id] = stream
 
     async def send_message(
         self, flag: HeaderTags, data: Optional[bytes], stream_id: StreamID
@@ -180,7 +186,11 @@ class Mplex(IMuxedConn):
                         # `NewStream` for the same id is received twice...
                         # TODO: Shutdown
                         pass
-                    await self.accept_stream(stream_id, message.decode())
+                    self._tasks.append(
+                        asyncio.ensure_future(
+                            self.accept_stream(stream_id, message.decode())
+                        )
+                    )
                 elif flag in (
                     HeaderTags.MessageInitiator.value,
                     HeaderTags.MessageReceiver.value,