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Preheat the oven to 400 degrees F.
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Line a baking sheet with parchment paper.
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Place the whole pumpkin on the prepared baking sheet.
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Bake for 50 minutes or until you can easily run a fork through it.
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Remove from the oven. Peel, de-seed, and cut the flesh into chunks.
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Heat the butter and oil in a skillet.
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Add the chestnuts and saute for a few minutes.
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Season with salt, pepper, and sugar.
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When they start to brown, remove from the heat and set aside.
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Heat the vegetable broth in a pot. Add the hoikkado pieces and bring to a boil.
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Turn the heat down and let it simmer for 10 minutes.
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Use a stick blender to puree the mixture. Or transfer the mixture to a blender or food processor and puree, then return to the pot.
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Stir in the cream.
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Season with Kosher salt and freshly ground black pepper to taste.
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Add the chestnuts to the mixture and cook, stirring
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for 2-3 minutes.
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Transfer to bowls or a soup tureen and serve.