Preheat oven to 375°F.

In a large bowl, combine flour and salt. Cut in cold butter until the mixture resembles coarse crumbs.

Add olive oil and egg, then gradually mix in cold water until a dough forms. Shape into a disk, wrap, and refrigerate for at least 30 minutes.

In a large bowl, combine ricotta, mozzarella, and Parmesan. Add eggs and mix until smooth. Fold in diced ham, salami, and prosciutto. Season with salt and pepper.

Roll out about ⅔ of the dough and press it into a greased 9-inch springform pan or deep pie dish, leaving some overhang. Fill with the cheese and meat mixture.

Roll out remaining dough and place on top. Seal edges and crimp. Cut small slits in the top to vent.

Brush the top with beaten egg.

Bake for 60–70 minutes, until golden brown and set in the center.

Let the pie cool for at least 20–30 minutes before slicing. Serve warm or at room temperature. Enjoy!