Layout skirt steak and season with liberally salt and pepper. If using a flank steak pound out with a meat tenderizer until thin, then season with salt and pepper.
Add oil to the griddle and add sliced onions and peppers. Cook until softened.
Layout steak and add a layer of cheese and top with cooked peppers and onions.
Roll steak tightly into pinwheel and tie with cooking twine in four spots depending on your desired thickness. Cut between each piece of twine.
Add skirt steak back to the griddle and cook for 8-10 minutes before flipping and cooking an additional 8-10 minutes or until the internal temperature reaches the desired doneness (135 F for medium rare).