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Boil the pasta in a medium-sized stock pot over high heat until tender, 10-15 minutes.
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While pasta is boiling, prepare the sauce by heating the butter and garlic over medium-low heat.
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When butter is melted and garlic is fragrant and barely starting to brown, add the pumpkin puree and salt and stir well.
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Slowly pour in the cream while stirring. Turn the heat up to medium-high and stir continually until sauce almost starts bubbling.
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Remove from heat and add the Parmesan cheese. Stir and set aside.
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Drain the pasta. Serve immediately with the sauce and a pinch of nutmeg if desired.