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1
Place the meat on a parchment paper-lined baking sheet and, using your hands, break into small pieces and combine evenly.
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2
Arrange in a single layer and season the meat with salt and pepper.
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3
Divide the meat into 6 portions (about 4 ounces each).
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4
Using your hands, form each portion into a ball-shape by gently tossing it from one hand to the other.
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5
Form each portion into a thin patty (about 1/4-inch).
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6
Each patty should be somewhat larger than a slice of the bread (the patty will shrink to the size of the bread when cooked).
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7
Heat 1 tablespoon of the oil in a large cast-iron skillet over medium-heat.
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8
Add the onion, season with salt and pepper, and cook, stirring occasionally, until caramelized, about 7 minutes.
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9
Transfer the onion to a bowl.
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10
Wipe out the skillet, return to the heat, and heat 1 tablespoon oil.
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11
Add 2 patties and saute, turning once, until well browned and cooked to medium, about 1 minute per side.
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12
Transfer to a plate and repeat with the remaining oil and patties.
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13
Arrange 1/6 of the onion over 1 bread slice.
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14
Place 1 cheese slice over the onion and top with a patty.
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15
Top the patty with a slice of cheese and cover with a bread slice.
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16
Spread about 2 teaspoons of butter over the outside of each slice.
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17
Repeat with the remaining ingredients to make 6 sandwiches.
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18
Heat the cast-iron skillet over medium heat.
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19
Add 2 sandwiches and cook, turning once, until lightly browned and the cheese has melted, about 5 minutes per side.
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20
Transfer to a cutting board and repeat with the remaining 4 sandwiches.
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21
Cut sandwiches in half crosswise and serve.
