Preheat oven: Preheat oven to 190-200°C (375-400°F).
Prepare the egg mixture: In a bowl, whisk together the eggs, milk, and a pinch of salt.
Prepare the sandwiches: Arrange 6 slices of bread on a flat surface. Place a slice of cheese on each slice of bread, add a slice of ham to each slice, then another slice of cheese and cover with the remaining slices of bread to form the sandwiches.
Dip and arrange: Briefly dip each sandwich in the egg mixture, ensuring both sides are coated. Arrange the dipped sandwiches on a baking sheet.
Add toppings: If desired, sprinkle additional cheese on the sandwiches for an even cheesier flavor. Bake: Bake in the preheated oven for 15-20 minutes, or until the cheese is melted and bubbly and the bread is golden brown. Serving: Let the dessert cool for a few minutes before cutting and serving.
