Heat the butter and olive oil: In a medium-sized pan, combine 1 tablespoon of butter and 1 tablespoon of olive oil over low heat. Allow them to melt together, creating a rich base.
Add onions and mushrooms: Toss in the julienned onion and sliced mushrooms. Cover the pan and cook for about 5-7 minutes, stirring occasionally, until they are soft and lightly caramelized.
Season the mixture: Generously season with salt and black pepper to taste, enhancing the natural flavors of the vegetables.
Add the eggs: Pour 2 beaten eggs evenly over the sautéed mixture, then sprinkle with 2 tablespoons of freshly chopped parsley.
Prepare the tortilla: Place 1 tortilla wrap on top of the egg and vegetable mixture. Cover the pan to allow the eggs to set, cooking for approximately 3-4 minutes.
Flip the wrap: Once the eggs are set, carefully flip the entire wrap over so that the tortilla is now on the bottom.
Add mozzarella: Sprinkle 50g of grated mozzarella cheese on top of the tortilla, along with a bit more chopped parsley if desired. Fold the wrap in half and cook for another 1-2 minutes until the cheese is melted and gooey.
Serve and enjoy: Slide the warm wrap onto a plate, slice it in half if you prefer, and savor each delicious bite!