In the end we were able to found out the root cause of the problem, being the SQL database that was provisioned fixed size, without autogrow and of course, insufficient space for the amount of data in the soure repository.
Unfortunattaly, the GUI doesn't reveal this real root cause, I actually did discover it by accident while trying to connect and getting a message indicating "The database [] reached its size quota...". After fixing that, the migration went fine.