Bring a large pot of water to a boil for ravioli. Salt water and cook a minute less than package directions for either fresh or frozen pasta, then drain thoroughly.
Heat about 3 tablespoons EVOO in a large, nonstick skillet over medium heat. Combine cornmeal, 1/2 cup of Parmigiano Reggiano and lots of black pepper on a plate. Coat the drained ravioli in the cornmeal and cheese mixture. Shake off excess and fry the ravioli until golden on each side, 4-5 minutes total. Remove them to a paper-towel lined plate and season with some salt.