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1
In a small skillet, toast the pine nuts over moderate heat until lightly golden, about 4 minutes.
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2
Let cool.
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3
In a food processor, combine the pine nuts, arugula, parsley, basil and garlic and pulse until coarsely chopped.
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4
Add the mayonnaise, grated cheese, 1 tablespoon of the olive oil and 1 tablespoon of the lemon juice and puree until smooth.
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5
Season the aioli with salt and pepper.
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6
Preheat a large griddle.
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7
Brush both sides of the bread slices with olive oil and griddle over moderate heat, turning once, until toasted, about 2 minutes.
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8
Transfer the toasts to a plate.
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9
Add the bacon to the griddle and cook over moderate heat until crisp, 3 to 4 minutes per side; drain on paper towels.
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10
In a medium bowl, gently toss the tomato slices and torn frisee with 1 tablespoon of the olive oil and the remaining 1/2 tablespoon of lemon juice; season with salt and pepper.
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11
In a large nonstick skillet, heat the remaining 2 tablespoons of oil.
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12
Crack the eggs into the skillet and fry sunny-side up or over-easy.
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13
Transfer to a plate and season with salt and pepper.
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14
Lay 6 slices of toast on a work surface and spread with the aioli.
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15
Top with the tomatoes and frisee, then the bacon and eggs.
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16
Close the sandwiches, cut in half and serve right away.