INGREDIENTS
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1 tablespoon (1/2 ounce) unsalted butter
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1 tablespoon all-purpose flour
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3/4 cup plus 1 tablespoon lukewarm milk, preferably whole, plus more as needed
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1/2 teaspoon Dijon mustard
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1/2 teaspoon freshly grated nutmeg
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1/4 cup grated Gruyère or mature Comté cheese (or a strong hard cheese like Parmesan or mature Cheddar), plus more for sprinkling
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Salt and freshly ground black pepper to taste
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6 slices white bread, crusts removed
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3 tablespoons (1 1/2 ounces) unsalted butter, melted, plus more for the tin
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2 1/2 ounces ham, cut into cubes or thin strips
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6 small eggs