Having the same problem, couple things me and my friends noticed is me being unable to connect to the global chat while browsing multiplayer groups also opening network.log file in steam/steamapps/common/Divinity Original Sin 2/bin/network.log shows the following:
My friend:
Received Module Load
Received Session Load
Received Level Load
Received Instantiate Swap
Received Swap Complete
Received Level Start
Me:
Received Module Load
Received Session Load
Received Level Load
Received Instantiate Swap
And instead of the last two I get:
Disconnecting from the global chat server
EDIT: My friend is able to connect to some other games, but not mine, which leads me to a conclusion that the problem is on my side.