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1
Preheat the broiler on low.
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2
Gently dry the bread under the broiler, just until dry and with no browning.
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3
In a small bowl, toss the cheese with the white wine and allow to sit.
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4
Meanwhile, in a small bowl, mix together the sour cream, garlic, mustard, salt, and pepper.
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5
On a baking sheet, lay out the bread slices.
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6
Take less than one-quarter of the sour cream mixture and divide evenly among the bread slices, spreading thinly to coat 1 side of each slice.
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7
Next, evenly distribute the ham on top of the bread.
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8
Divide the rest of the sour cream mixture over the ham.
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9
Spoon the cheese on top of the sour cream mixture, blotting lightly before adding to remove any excess wine.
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10
Preheat a large, nonstick saute pan over medium heat and melt the butter.
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11
Crack the eggs into the pan and fry, either over-easy or sunny-side up, according to your preference.
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12
While the eggs are cooking, place the open-faced sandwiches under the broiler until very bubbly and lightly browned, about 3 minutes.
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13
Watch closely and don't let the topping burn.
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14
Place each sandwich on a plate.
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15
Season the fried eggs with salt and pepper and place 1 egg on each sandwich.
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16
(If desired, use a biscuit cutter to cut the egg into an evenly round shape.)