Preheat oven to 350F. Combine the coconut with the milk in the container of a food processor. Process until fairly smooth. Strain the milk into a bowl. Reserve the coconut for use at another time.
Combine 1 1/2 cups of the coconut milk with the cream in a medium saucepan. Heat over low heat until hot, about 5 minutes.
Beat the egg yolks with sugar in a large bowl until very light and fluffy. Slowly whisk in the hot coconut milk mixture. Transfer to the top of a double boiler. Cook over simmering water, stirring constantly, 5 minutes. Stir in the rum.
Place half the bread cubes over the bottom of a 1 1/2 to 2 qt souffle dish. Spread the pineapple over the top. Cover the pineapple with the remaining bread cubes. Pour the hot egg mixture over the top; let stand 10 minutes.
Bake the pudding until set, about 40 minutes. Cool on a wire rack. Serve slightly warm or at room temperature with Rum Sauce. Serves:6-8 Rum Sauce: Combine the cream and milk in a medium saucepan. Heat over low heat until hot, about 5 minutes.
Beat the egg yolks with the sugar in a large bowl until light. Slowly whisk in the hot liquid. Whisk in the rum. Transfer to the to of a double boiler. Cove rover simmering water, stirring constantly until thick enough to coat a spoon, about 10 minutes. Cool to room temperature. Serve at room temperature or slightly chilled. Makes: about 1 1/2 Cups
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