Heat oil in a large saucepot and saute onions, peppers and mushrooms until onions begin to turn translucent and peppers begin to soften. Add tomatoes, tomato paste, tomato juice, shallots, garlic, basil and parsley. Season with salt and pepper. Let simmer 45 minutes until medium thickness.
Preheat a grill to high.
Season chicken breasts with salt and pepper. Grill on both sides until cooked through. Arrange on serving platter and spoon sauce around. Serve with a side of polenta (as you would mashed potatoes), and remaining sauce in a gravy boat.
Saute onion in butter until softened. Add water and stir in polenta. Cook on low heat, stirring often, for about 40 minutes until tender. Sprinkle with Parmesan.
2007, Robert Irvine/George Kralle, All Rights Reserved