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1
Bring a large pot of water to a boil.
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2
Fill a bowl with ice water.
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3
Using a sharp knife, score a shallow X on the bottom of each tomato.
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4
Blanch the tomatoes in the boiling water just until their skins begin to loosen, about 10 seconds.
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5
Transfer the tomatoes to the ice water.
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6
Peel the tomatoes and halve them lengthwise.
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7
Set a strainer over a large bowl.
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8
Pry out the tomato pulp and seeds, pressing the pulp through the strainer to extract as much juice as possible.
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9
Discard the seeds.
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10
Coarsely chop the tomatoes and add them to the bowl with the juices.
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11
Rub the chiles lightly with olive oil and roast them directly over a gas flame or under a broiler, turning frequently, until lightly charred all over.
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12
Transfer the chiles to a bowl, cover with plastic wrap and let cool slightly.
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13
Peel and finely chop the chiles.
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14
Add them to the tomatoes along with the garlic, the 1/4 cup of olive oil and a generous pinch each of salt and pepper.
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15
Let stand for 1 hour.
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16
In a large pot of boiling salted water, cook the linguine until al dente.
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17
Drain the pasta well and transfer it to the bowl with the tomatoes.
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18
Add the basil and toss well.
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19
Serve right away, passing the cheese at the table.