Just surfing around found this thread in the Chowhound Italy Forum:
Rome itinerary for anniversary trip
It's 2 years old, but both Elizabeth Minchilli and Maureen Fant weigh in (and they're both true experts in Rome dining).
And then I saw this thread where Minchilli, Fant and Katie Parla post answers, although it's from 2012:
Question: Anniversary dinner in Rome - which restaurant?
You'll see the first reply tells the OP to do a search - and these restaurants might not be what our OP is looking for - but I just wanted to share these so you'd get an idea of the info available on that site. IMO, Chowhound is a far superior forum for asking about Rome's dining options - it's populated with real "foodies" - so you get good advice sans shaming sermons!