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Bring the water and salt to a boil in a big pan and gradually pour in the polenta in a steady stream, stirring constantly. Turn the heat down and keep stirring until the polenta is smooth and thick. This takes about 20 minutes.
Keep stirring else it will stick to the pan! Add the butter and cream and keep stirring until it is mixed in well. Remove from the heat and stir in the pepper and cheese.
Pour the polenta into a 9 x 13 inch dish and spread it evenly using a spatula.
Cover and chill for several hours until it is set.
Cut the eggplant into 1/2 inch thick slices. Whisk the vinegar, oil, garlic, herbs, and seasonings together in a bowl and brush both sides of the eggplant with this mixture. Grill it for 15 or 20 minutes, turning once.
For the eggplant sauce, heat the oil in a skillet over a medium heat. Cook the eggplant, onion, bell pepper, and garlic until soft, stirring frequently. Transfer the vegetables to a stockpot. Stir in the diced tomatoes, sugar, tomato paste, and water. Simmer for 15 to 20 minutes, stirring occasionally.
Cut the polenta into 18 triangles. Brush both sides with olive oil and grill it on both sides until it is heated through and has grill marks on.
Divide the sauce between the serving plates, top it with the grilled eggplant slices, and arrange three polenta triangles on the top of each plate. Serve immediately.
(Serves 6)
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