Beat eggs in a shallow dish (large enough to fit a sandwich) along with a few pinches of salt and pepper. Set aside.
2
Assemble sandwiches, with mustard, mayonnaise, ham, cheese, salt and pepper to personal preference. Slightly compress sandwich.
3
Over medium heat melt butter in skillet.
4
Dip and coat each sandwich in beaten egg, and place in skillet. Cook sandwiches 2-3 minutes on each side, until browned to liking and cheese has melted.