I just got off the Escape last Wednesday in Civitavecchia. Self-helped myself, process was easy and quick. There was no immigration or anyone checking IDs, just walked off and grabbed a shuttle bus to the train station.
Funny, when I flew home yesterday from Venice, immigration police at the airport pulled me aside because they had no record of my entering the country. They kept flipping through my passport, looking for the entry stamp. Had to explain that I arrived via cruise ship. Wasn't a big deal, luckily.