Melt butter and oil in medium saucepan over medium heat. Add tomatoes and garlic; simmer until tomatoes are softened. Add milk and cooking wine; simmer 10 minutes. Stir in basil and shrimp; simmer 3 minutes. Add 1/2 of cheese and 1/2 of parsley. Serve over cooked fettuccine. Sprinkle with remaining cheese and parsley.
If you'd like, you can substitute the shrimp with another seafood variety or with chicken.