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For the compote: (You can make the compote up to 2 days ahead.)
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Preheat the oven to 325, or a convection oven 300.
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Set aside 1 1/2 cups of the tomatoes.
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Cut the remaining 4 cups in half lengthwise.
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Place them with their cut sides up on a wire rack set over a sheet pan.
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Sprinkle with 1/4 cup of the sugar.
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Bake for 15 minutes, sprinkle with the remaining 2 tablespoons sugar, and continue cooking until the tomatoes are dry but not brittle, 1-1 1/2 hours.
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Place the reserved 1 1/2 cups tomatoes into a blender, and blend to make 1 cup thin puree.
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Bring 1 cup of water along with the remaining 6 tablespoons sugar to a boil and add the lemon.
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Let simmer for 10 minutes, then add the roasted tomatoes and raisins.
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Cook until the mixture is bubbling fiercely, add the tomato puree, and cook another few minutes, stirring well with a heatproof spatula so that the bottom of the pan does not scorch.
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Remove the compote from the heat and cool to room temperature.
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Add more sugar to taste, and, if needed, a squeeze of lemon.
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Spoon generously over each budino.
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15
For the Budini: Spray 10 to 12 six-ounce ramekins with oil and line the bottoms with circles of parchment paper.
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In an electric mixer, beat the cream cheese until smooth.
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Add the sugar gradually and beat until completely blended.
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Add the mascarpone and beat until smooth.
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Add the eggs one at a time, beating well after each addition and scraping the sides of the bowl well.
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Add the lemon juice and orange and lemon zests.
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Pour into the prepared ramekins.
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Preheat the oven to 325 (300 for a convection oven).
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Place the ramekins in a pan large and deep enough to fit all of them, such as a roasting pan, and pour in boiling hot water until it comes halfway up the sides of the ramekins.
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Bake until the budinos are set, 30-40 minutes.
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Remove from the oven and let cool in the water bath.
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Remove from the water bath and chill thoroughly before inverting each ramekin onto a plate so that the budino comes out.
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Discard the parchment paper circles.