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1
Add peas to a small pot of salted water; bring to a boil; simmer until tender.
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2
In another pot of salted water, cook green beans and carrots until tender.
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3
Drain very well on paper towels; chop all vegetables finely.
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4
While the vegetables are cooking, heat 1 tablespoon oil in a small skillet until very hot; saute the mushrooms quickly over high heat for about 1 minute; chop finely.
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5
In a saucepan, melt the butter with the remaining 5 tablespoons oil.
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6
Stir in the flour; cook about 2 minutes, stirring constantly.
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7
Add in the milk and broth gradually, continuing to stir.
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8
Season well with salt and pepper; stir constantly until the sauce is thickened and smooth and has reached a boil.
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9
Mix the sauce with all the vegetables (including the chopped truffles).
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10
Cool, then chill for several hours until the mixture is firm enough to handle (this may be sped up by spreading the mixture in a thin layer on a large plate).
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11
Form the croquettes into walnut-size balls, dip in the egg mixture, then coat with the bread crumbs.
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12
Heat the oil at least 1/2 inch deep to about 365; fry the croquettes quickly, turning once, until they are golden.
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13
(or, better, use a deep fryer).
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14
Serve immediately.