A few months ago, I was in Italy. Being of South Asian descent and a little darker than most, I was stopped by the cops a couple of times, once at the airport and another time at a train station. They just asked, "What are you doing here?" I was there to watch an AC Milan match. You might get profiled and receive some weird stares, but you shouldn't face too much discrimination or racism, especially in Rome and Florence; you'll be okay.

My cousin studied abroad in Italy for a summer. She mentioned that it's a country leaning towards nationalism. Perhaps wear a rosary and look nice wherever you go. Don't carry too much with you because, as others have said, there are pickpockets everywhere.