CB Field mapping

Please check and test the following:
Enable Community Builder Integration is set to Yes
Set Always Import Profile Data to Yes, for now (even if you don't want to normally)
Set Import Avatar to Yes, for now (even if you don't want to normally)
Fields are set up to map how you want AND that the field you're pulling data from in Facebook actually has data

Now, try to connect.
Is the avatar coming in?
Are any fields being properly filled in?
Does the Joomla user that's created have a full name (should be their Facebook name).

All this will help us narrow down the cause.

Thanks!