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Prepare the crawfish: boil them in salted water. Drain, cool, and remove the meat. Reserve.
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Place the whole allspice, bay leaves, and whole cloves in a satchet for easy removal.
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Saute the onion and green onions in the butter in melted butter over medium heat until softened. Add in the flour to make a roux, and mix until all the ingredients are combined.
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Stir in the canned tomatoes and tomato paste; simmer all the ingredients together for 5 minutes.
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Add in the prepared crawfish, and the remaining ingredients. Simmer for about an hour, until the consistency is of thick cream.
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Remove sachet, and serve hot.