Combine tomato, dry white wine, sugar, and 1/4 teaspoon salt in a 13 x 9-inch baking dish; spread evenly.
Scoop pulp from eggplant halves, leaving 1/4-inch-thick shells. Chop pulp. Sprinkle inside surfaces of eggplant shells with 1/4 teaspoon salt.
Heat oil in a large nonstick skillet oven medium-high heat. Add onion, bell pepper, garlic, and 1/2 teaspoon salt; sauté 3 minutes. Stir in eggplant pulp, basil, and jalapeño; cover, reduce heat, and cook over low heat 10 minutes or until eggplant is tender. Remove from heat; stir in rice, cheese, and parsley.
Spoon about 1/4 cup eggplant mixture into each eggplant shell, pressing gently; place shells, cut sides up, over tomato mixture in baking dish. Cover and bake at 375° for 15 minutes. Uncover; bake an additional 15 minutes or until shells are tender. Spoon about 1 1/2 tablespoons tomato mixture over each eggplant half. Garnish with parsley sprigs, if desired.