Croque Madame

Name: Croque Madame
Prep time: 5 min
Cook time: 15 min
Total time: 20 min
Yield: 5
Ingredients: Ingredients; 8 thick slices brioche or white bread; 8 oz thinly sliced ham; 2 cups Gruyère cheese, grated; 4 large eggs; 2 tablespoons butter for frying eggs; Salt and black pepper to taste; Fresh chives, chopped (for garnish); Béchamel Sauce; 3 tablespoons butter; 3 tablespoons all-purpose flour; 1 1/2 cups whole milk, warmed; 1/4 teaspoon nutmeg; 1/2 teaspoon salt; 1/4 teaspoon white pepper; 1/2 cup Gruyère cheese, grated