Place the first 7 ingredients in a large bowl and mix thoroughly by hand. Shape the meat mixture into 4 patties, each of the patties should be about 1/3 inch thick.

Place the patties in a large skillet over medium heat and cook for 4 minutes on each side. (You can grill the patties instead, if desired.) Remove the patties to a paper towel-lined plate to drain.

Now, let's assemble the burgers. Place one tortilla on the counter, add the cheese to the center of the tortilla, then add a burger to the center and fold the edges of the tortilla around the burger. It will look like a pinwheel when you are done and there may be a small amount of burger showing on one side.

Place the wrapped burger on a Panini Press heated to 375 degrees. My Panini Press is made by Breville. It was well worth the money I spent on it at Williams Sonoma, cooks evenly and gives the best grill marks to the food.

Press the burgers, edges down, for about 4 minutes with the lid closed and pressing down on the burgers.

If you don't have a Panini Press, put the burgers on the grill with a baking sheet on top to press them down, cooking for two minutes on each side.