Bring 6 quarts of water to a boil and add 2 tablespoons salt. Cook the eggplants in the salted water for 10 minutes. Drain and dry well with paper towels.
Using a spoon or melon baller, scoop out the eggplant flesh, leaving the skin of the 2 halves intact. Place the flesh in a large bowl. Add 2 whole eggs, the Parmigiano, garlic, basil, and parsley. Season with salt and pepper and mix well to combine. Add 1/4 cup bread crumbs and stir in. Divide the mixture evenly among the eggplants, filling the shells, and then place a slice of provola in the center of each eggplant. Dredge each eggplant lightly in the flour, then the beaten egg, then the remaining bread crumbs.
In a large skillet, heat the olive oil until almost smoking. Add the eggplants and fry on both sides until cooked through, about 10 minutes. Drain on a plate lined with paper towels and serve.
Recipe copyright 2000, Mario Batali. All Rights Reserved.