Bring a large pot of lightly salted water to a boil. Add pasta and cook for 10 minutes or until al dente; drain.
Combine olive oil, garlic, tuna, onion, tomatoes and basil; let sit at room temperature.

Toss warm pasta with Parmesan and feta. Stir in tomato mixture and sprinkle on salt and pepper. You can add more Parmesan if desired. Serve immediately.