In a large mixing bowl (or the bowl of your stand mixer), whisk together the eggs, warm milk, sugar, salt, flour, and yeast. Mix until a rough dough forms. Add the softened butter and continue mixing until the dough pulls away from the sides of the bowl.

Lightly grease a clean bowl, place the dough inside, and cover with plastic wrap. Let it rise in a warm place for about 1 hour or until it doubles in size.

Roll out the dough on a floured surface. Use a round cookie cutter to cut circles. Place a little ham and cheese in the center of each circle, fold the dough in half, and then fold again to create a flower shape.

Arrange each folded piece in a greased round baking dish, forming a beautiful flower-like pattern. Cover and let rise again for 30 minutes.

In a small bowl, mix olive oil with shredded garlic, Italian seasoning, and salt. Brush the tops of the rolls generously with this garlic herb oil.

Preheat your oven to 350°F (175°C). Bake the rolls for about 25 minutes, or until they’re golden brown and smell irresistible. Brush with melted butter while they’re still hot for that glossy, buttery finish.