Preheat your panini press, griddle, or skillet to medium-high.
Arrange tortillas on a flat clean work surface. Layer the cheese, pepperoni, salami, and sausage in the center leaving a 1" border on the edges. Top with another tortilla and transfer to the cook surface.
Press or cook until golden brown, flipping if using a skillet halfway through cooking, until cheese has melted through and tortilla is golden on both sides.