Add the egg, flour, and salt to the yeast mixture and mix until a rough dough forms.

Knead the dough until it becomes smooth, elastic, and slightly tacky to the touch.

Gradually incorporate the softened butter while kneading until the dough feels soft and silky.

Place the dough in a lightly greased bowl, cover, and let it rise in a warm spot until doubled in size and airy.

Stir together the softened butter, minced garlic, parsley, black pepper, and a pinch of salt to create a fragrant garlic butter spread.

Punch down the risen dough and roll it out on a floured surface into a large rectangle.

Spread most of the garlic butter across the surface of the dough in an even layer.

Sprinkle mozzarella and parmesan cheese generously over the buttered dough.

Roll the dough tightly into a long log, keeping the filling inside.

Slice the log into even pieces and arrange them in a greased baking dish with a little space between each roll.

Cover and allow the rolls to rise again until puffy and touching.

Bake in a preheated oven until the tops turn golden brown and the cheese inside is melted.

Brush the warm rolls with the remaining garlic butter for extra flavor and shine before serving.