Slice 1 large eggplant lengthwise into thirds; soak in water 15 minutes. Drain and toss with olive oil and salt. Grill over medium-high heat until tender, about 8 minutes per side. Chop and toss with 1 large chopped tomato, 1 minced garlic clove, 2 tablespoons chopped basil and 1 teaspoon each chopped oregano and red wine vinegar; season with salt and pepper. Top with shaved parmesan.