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1
Heat a grill pan.
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2
Rub the eggplant with 1/4 cup of the olive oil and season with salt and pepper.
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3
Grill the eggplant over moderate heat, turning, until golden and tender, about 15 minutes.
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4
Transfer to a cutting board and let cool slightly.
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5
Cut into 3/4-inch pieces and transfer to a bowl.
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6
Add the lemon juice, vinegar and 1 teaspoon of the preserved lemon rind and mix well.
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7
In a small skillet, heat the remaining 2 tablespoons of oil.
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8
Add the garlic, oregano sprigs and chile de arbol and cook over moderately low heat, stirring, until the garlic is fragrant and starts to brown, 1 to 2 minutes.
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9
Add the mixture to the eggplant and toss to evenly coat.
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10
In a large saucepan of salted boiling water, cook the orecchiette until al dente.
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11
Drain, reserving 1 cup of the cooking water.
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12
Return the pasta and pasta water to the saucepan and add the eggplant and its marinade, the Calabrian chiles, the 1/2 cup of grated Romano and the remaining 1 teaspoon of preserved lemon rind.
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13
Season with salt and pepper and toss over moderately high heat until well combined and the pasta is saucy, about 2 minutes.
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14
Remove the pan from the heat and discard the oregano sprigs.
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15
Add the burrata, toss quickly and transfer to plates.
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16
Garnish with oregano leaves and chopped parsley and serve, passing grated Romano cheese at the table.