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Cook the noodles until they are al dente, drain, and evenly divide them between 4 soup bowls.
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In a small naked frying pan, toast the hazelnut pieces until golden brown. Remove from heat and set aside.
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In a medium-sized saucepan over medium heat combine the chicken broth, heavy cream, and butter. Bring to a boil.
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Stir in the ground nutmeg and add the prosecco.
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Turn the heat down low and simmer for 5 minutes.
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Whisk in the tablespoon of flour to thicken the soup.
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Cook for about 5 minutes more.
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Season with kosher salt and freshly ground pepper to taste.
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Pour the soup evenly over the noodles between the 4 soup bowls.
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Splash 1 teaspoon of hazelnut oil on top of each bowl of soup.
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Garnish each with the toasted chopped hazelnuts and serve immediately.