Were the Roman ancestors of Romanians mostly from Italy or all around the empire?

I know Romanians descend in part from Roman citizens, mainly legionnaires and colonists who brought Latin with them providing the foundation of the Romanian language, but I've read conflicting accounts of where the settlers came from. Were they mostly from various provinces from around the empire or primarily from Italy?

By the time the 2nd century rolled around, the Roman Empire was very cosmopolitan, however by the same token, wasn't citizenship still restricted mainly to Italians or to families of Italic origin living in the provinces? I know that Emperor Trajan's plan (the conqueror of Dacia, modern Romania) was to thoroughly Romanize Dacia on account of its remote location as a frontier province, hence his decision to heavily populate the province with Roman citizens.

Another reason I ask is that quite a few Romanians I've seen look very much like Italians. I'm wondering if it's merely due to the fact that the Roman colonists would've at least been drawn from Southern Europe even if not Italy itself, or if it's because there is a more direct connection.