Preheat oven to 425°F and line a baking sheet with foil.
Beat eggs well in a medium bowl; stir in cheese, mustard and pepper.
Place bread on prepared baking sheet and spread about a spoonful of cheese mixture and a piece of ham on each. Spoon remaining cheese mixture over top.
Bake for 10 to 12 minutes or until hot and bubbly and cheese is lightly browned.