Coat a medium non-stick skillet with 2 teaspoons olive oil. Spread cooked spaghetti noodles evenly in skillet and cook over medium heat for 2 minutes.
Whisk milk, eggs, egg whites and black pepper together in a bowl. Gently pour over pasta. Sprinkle the top of the frittata with cheese, green onions and basil. Cover and cook for approximately 8 minutes until set.