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1
Preheat the oven to 400.
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2
Butter and flour six 1 1/2-cup ramekins.
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3
In a medium saucepan, melt the 2 tablespoons of butter.
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4
Add the minced shallots and cook over moderate heat, stirring constantly, until softened, about 2 minutes.
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5
Add the 2 tablespoons of flour and cook, whisking constantly, for 30 seconds.
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6
While whisking, add the milk in a slow, steady stream; whisk in the salt and piment d'Espelette and season with black pepper.
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7
Cook over moderate heat, whisking, until the mixture comes to a simmer and is slightly thickened, about 5 minutes.
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8
Remove the saucepan from the heat and stir in the cheese until it is melted.
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9
Transfer the souffle base to a large bowl and let cool slightly.
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10
Whisk in the egg yolks, one at a time, until incorporated and no streaks remain.
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11
Let cool to room temperature, about 15 minutes.
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12
In a large stainless steel bowl, using an electric mixer, beat all of the egg whites at high speed until firm peaks form.
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13
Fold one-third of the whites into the souffle base to lighten it, then fold in the remaining whites until no streaks remain.
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14
Spoon the souffle base into the prepared ramekins, filling each one about three-fourths full.
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15
Bake the souffles for 12 to 13 minutes, until puffed, just set and golden on top.
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16
Serve immediately.