diff --git a/telethon/network/mtprotosender.py b/telethon/network/mtprotosender.py
index 9b10817d..9b93c053 100644
--- a/telethon/network/mtprotosender.py
+++ b/telethon/network/mtprotosender.py
@@ -67,8 +67,8 @@ class MTProtoSender:
         self._pending_messages = {}
 
         # Containers are accepted or rejected as a whole when any of
-        # its inner requests are acknowledged. For this purpose we save
-        # {msg_id: container}.
+        # its inner requests are acknowledged. For this purpose we
+        # all the sent containers here.
         self._pending_containers = []
 
         # We need to acknowledge every response from Telegram
@@ -200,17 +200,33 @@ class MTProtoSender:
                     self.session, MsgsAck(list(self._pending_ack))))
                 self._pending_ack.clear()
 
-            message = await self._send_queue.get()
-            if isinstance(message, list):
-                message = TLMessage(self.session, MessageContainer(message))
+            messages = await self._send_queue.get()
+            if isinstance(messages, list):
+                message = TLMessage(self.session, MessageContainer(messages))
                 self._pending_messages[message.msg_id] = message
                 self._pending_containers.append(message)
+            else:
+                message = messages
+                messages = [message]
 
             body = helpers.pack_message(self.session, message)
 
-            # TODO Handle exceptions
-            async with self._send_lock:
-                await self._connection.send(body)
+            while not any(m.future.cancelled() for m in messages):
+                try:
+                    async with self._send_lock:
+                        await self._connection.send(body)
+                    break
+                # TODO Are there more exceptions besides timeout?
+                except asyncio.TimeoutError:
+                    continue
+            else:
+                # Remove the cancelled messages from pending
+                self._clean_containers([m.msg_id for m in messages])
+                for m in messages:
+                    if m.future.cancelled():
+                        self._pending_messages.pop(m.msg_id, None)
+                    else:
+                        await self._send_queue.put(m)
 
     async def _recv_loop(self):
         """
@@ -220,9 +236,15 @@ class MTProtoSender:
         Besides `connect`, only this method ever receives data.
         """
         while self._user_connected:
-            # TODO Handle exceptions
-            async with self._recv_lock:
-                body = await self._connection.recv()
+            # TODO Are there more exceptions besides timeout?
+            # Disconnecting or switching off WiFi only resulted in
+            # timeouts, and once the network was back it continued
+            # on its own after a short delay.
+            try:
+                async with self._recv_lock:
+                    body = await self._connection.recv()
+            except asyncio.TimeoutError:
+                continue
 
             # TODO Check salt, session_id and sequence_number
             try: