Ingredients
Method
Prepare the Béchamel Sauce:
- In a small saucepan, melt 1 tablespoon of butter over medium heat. Whisk in the flour and cook for about 1 minute, then slowly pour in the milk, whisking constantly until the mixture thickens. Season with salt and pepper, then set aside.
Assemble the sandwiches:
- Spread Dijon mustard on one side of each bread slice. Layer ham and Gruyère cheese between two slices of bread, with the mustard side in.
- Heat the remaining butter in a large skillet over medium heat. Place the sandwiches in the skillet and cook until golden brown on both sides, about 3-4 minutes per side.
- Preheat your broiler. Place the sandwiches on a baking sheet, spoon the béchamel sauce over the top, then add a generous sprinkle of grated Gruyère. Broil for 2-3 minutes, until the cheese is bubbly and golden.
- While the sandwiches are broiling, fry the eggs in a non-stick pan until the whites are set but the yolks are still runny.
- Place a fried egg on top of each sandwich and serve immediately.