Mediterranean civilization ≠ European civilization
It's a common mistake, I admit. The Romans, as the Greeks, the Syriacs, the Carthaginians etc were part of a single civilization that included lands nowadays outside of Europe. That's where Christianity was born and that's why cities like Alexandria and Antioch were considered important even though they are now non-European and non-Christian controlled.
European civilization as we understand it was only born after the destruction of the old Mediterranean world by the Islamic conquests, as the remaining leaders of the Roman world, the Bishops of Rome, made alliances with the Carolingians kings of Frankia, creating the axis that would spand Christianity eastwards for the next centuries.
And this "European civilization" was shit, it only became better with the Renaissance, when they rediscovered their Greco-Roman heritage, and then it became good with the Enlightenment.