Preheat oven to 350 degrees.

Slice 6 (1/2-inch) thick pieces out of the brioche loaf. Top 3 of the slices with thinly ham and the grated cheese. Place on a baking sheet and cook for approximately 5 minutes or until the cheese is melted and golden brown.

Take a glass and cut out the middle of the other 3 slices of brioche.

Heat the butter in a medium saute pan until hot and bubbly. Add the hollowed out slices and crack an egg in the middle of each piece.

After 1 minute flip the slice over and cook 1 minute.

Remove from the pan and place together with the ham and cheese, creating a sandwich. Serve hot.

Per serving: 400 Calories (kcal); 36g Total Fat; (81% calories from fat); 17g Protein; 2g Carbohydrate; 623mg Cholesterol; 400mg Sodium Food Exchanges: 0 Grain(Starch); 2 1/2 Lean Meat; 0 Vegetable; 0 Fruit; 6 Fat; 0 Other Carbohydrates