Preheat the oven to 375°F (190°C).
Place the pie crust into a 9-inch pie dish and set aside.
In a large mixing bowl, combine the beaten eggs, milk, salt, and pepper.
Spread half of the shredded mozzarella on the bottom of the pie crust.
Layer the sliced tomatoes and chopped basil over the cheese.
Pour the egg mixture over the tomato and basil layer.
Top with the remaining mozzarella cheese.
Bake in the preheated oven for 45 minutes or until the center is set and the top is golden brown.
Allow the quiche to cool slightly before slicing and serving.