The ultimate breakfast sandwich for hangovers, one-night-stands, or both. This video was made in response to a Reddit AMA question: What's your favorite breakfast sandwich?

Ingredients

• 2 Tbsp butter
• 2 Tbsp flour
• 1 ¼ cups milk
• Salt and pepper to taste
• Freshly ground nutmeg to taste
• 4 thin slices of rustic bread
• 1 Tbsp melted butter
• Butter for toasting bread and cooking eggs
• Sliced ham
• ½ cup shredded gruyere cheese
• 2 eggs

Method

       Makes 2 sandwiches

1. Start with a bechamel sauce. In a saucepan, melt butter and add flour. Whisk constantly and do not let the mixture brown. After about 2 minutes or when the mixture becomes bubbly, slowly add in milk.
2. Keep whisking until thick and creamy. Season with salt, pepper, and freshly ground nutmeg. Set aside.
3. Preheat broiler.
4. Take rustic bread slices and brush with melted butter. In a pan with melted butter, brown the bread and pile high with ham. You should end up with two golden brown plain ham sandwiches. Place the sandwiches on a broiler pan.
5. Open the sandwiches back up and place the gruyere cheese on each sandwich. Place the slice back on top of the sandwich. Top each sandwich with the bechamel sauce.
6. Place the broiler pan with sandwiches into broiler. Leave to cook for about 2-3 minutes or until the bechamel sauce is browned and bubbly.
7. While the sandwiches are cooking, melt butter in a pan. Crack two eggs and cook with cover. Whites should be set and the yolks should be runny. Season with salt and pepper.
8. Take the sandwiches off of the broiler pan and plate. Place a fried egg on top of each one. Then, eat.