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1
Preheat the oven to 400 degrees .
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2
In a large ovenproof skillet, melt 1 tablespoon of the butter in 1 tablespoon of the olive oil.
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3
Season the pork roast all over with salt and pepper.
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4
Add the pork, thyme sprigs and garlic cloves to the skillet.
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5
Cook over moderate heat, turning occasionally, until the pork is browned on all sides, about 10 minutes.
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6
Transfer the skillet to the oven and roast the pork for about 1 hour, turning the meat and basting it with the pan juices every 15 minutes, until an instant-read thermometer inserted in the thickest part of the meat registers 165 degrees .
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7
Transfer the pork to a rack set over a baking sheet and let rest for 30 minutes.
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8
Meanwhile, in a large saucepan, melt 2 tablespoons of the butter in 1 tablespoon of the olive oil.
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9
Add the onions and cook over moderately low heat, stirring occasionally, until they are very soft but not browned, about 30 minutes.
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10
Add the buttermilk, bring to a simmer and cook, stirring occasionally, until the liquid is reduced and the onions are very tender, about 20 minutes.
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11
Transfer the onion-buttermilk mixture to a blender and add 4 tablespoons of the butter.
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12
Puree the mixture until very smooth and season with salt and pepper.
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13
In a large skillet, melt 2 tablespoons of the butter.
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14
Arrange 6 of the endive halves cut side down in the skillet and season with salt and pepper.
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15
Cook over moderately high heat, turning, until nicely browned on both sides and crisp-tender, about 5 minutes.
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16
Repeat with the remaining 2 tablespoons of butter and endive halves.
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17
In a medium bowl, combine the sliced raw endive with the halved olives, lemon juice and the remaining 2 tablespoons of olive oil and season with salt and pepper.
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18
Toss the endive to coat with the dressing.
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19
Transfer the pork roast to a cutting board.
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20
Remove the strings and discard.
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21
Cut the meat crosswise into 4 thick slices.
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22
Spread the onion puree on plates.
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23
Arrange the endive halves on the puree and set a slice of pork on top.
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24
Scatter the endive salad over all and serve.