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1
Heat the oil in a medium pot over medium heat.
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2
Add the oxtail pieces in one layer and do not stir until the undersides are golden brown, about 10 minutes.
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3
Turn them over and brown the other sides, about 8 minutes longer.
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4
Using tongs, move the oxtail to a bowl, leaving behind the oily fat.
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5
Add the celery, onion, garlic, and thyme to the pot and cook, stirring occasionally, until the onion is soft, about 4 minutes.
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6
Pour in the wine and scrape up any sticky bits from the bottom of the pot with a wooden spoon.
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7
Return the oxtail pieces and any drippings to the pot.
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8
Pour in the broth.
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9
Mix in the tomatoes, salt, and pepper.
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10
Cover, reduce the heat to low, and simmer for 2 to 2 1/2 hours.
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11
Stir occasionally, adding a little water if the broth reduces below the halfway mark of the oxtail.
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12
Using tongs, move the oxtail pieces to a bowl and allow them to cool as the sauce continues to simmer.
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13
Quarter the mushrooms, mix them into the sauce, cover, and cook for 20 minutes.
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14
Meanwhile, pull the oxtail meat off the bones, discard the bones, and mix the meat back into the sauce.
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15
Immediately stir in the cooked gnocchi, cook for 1 minute to heat through, and serve.