Restaurants in Rome near Spansh Steps
Nino is a very old fashioned, sort of Tuscan, restaurant right off the piazza.
Matricianella is just off Piazza San Lorenzo in Lucina.Very much known for their fritti, which are excellent.
Moro is a Roman classic, not far from the Trevi Fountain. Since it's April you'll be able to enjoy their Vignarola, a mix of artichokes, fave beans and peas.
And Campana, which Jen has already mentioned.