Heat a non-stick sauté pan or a comal over medium heat. Place a couple flour tortillas, many as will fit in the pan or comal, top with a generous amount of shredded cheese and one or two slices of ham or turkey. Cover with a second flour tortilla.
Heat until the flour tortillas in the bottom become lightly toasted and cheese starts melting. With the help of a spatula, flip them to the other side and let it heat and crisp a bit. I like to wait until the cheese oozes out, browns and crisps a little! Transfer to a plate and slice in half or quarters.
Serve with a salsa of your choice and slices of ripe avocado on the side.