Peel and slice eggplant lengthwise, sprinkle with salt, and let sit for 15 minutes. Pat dry.
Grill eggplant slices until tender.
Heat olive oil and brown garlic in a pot, then add tomatoes, salt, pepper, and basil. Simmer.
Cut mozzarella into strips. Roll eggplant slices with mozzarella inside.
Spread some tomato sauce in a casserole dish. Add rolled eggplant, cover with sauce, and sprinkle Parmesan cheese.
Bake at 400°F for 15 minutes.
Let cool slightly and serve warm.