Meanwhile, whisk eggs, salt and pepper in a bowl. Pour the eggs over the vegetables in the pan. Cook, lifting the edges to allow uncooked egg from the middle to flow underneath, until nearly set, about 2 minutes. Arrange mozzarella and sun-dried tomatoes on top and place the skillet under the broiler until the eggs are slightly browned, 1 1/2 to 2 minutes. Let stand for 3 minutes. Top with basil.