Preheat the oven to 350 degrees.
In a large bowl, combine the eggs and ricotta. Whisk until incorporated.
Stir in the parmesan cheese, ham, salami, mozzarella, basil, and black pepper.
In a 9 inch pie dish, place one of the pie crusts in the bottom. Pour the filling into the pie dish. Top with remaining pie crust, tucking the edges in between the pie dish and bottom pie crust. Crimp the edges to seal.
Brush the top of the pie with a whisked egg. Cut slits in the top.
Bake for 70-80 minutes, or until browned and internal temperature is 165 degrees. Let cool for at least 30 minutes before cutting.