- 1 cup loosely packed fresh basil leaves
- 1/2 cup extra-virgin olive oil
- 1/2 teaspoon salt
- 2 medium eggplants
- 1 large tomato
- 2 medium tomatoes
- 3 ounces feta, crumbled
- Garnish:
- Finely shredded fresh basil leaves
- Blend basil with oil and 1/2 teaspoon salt in blender until finely chopped. Pour into a paper-towel- or coffee-filter-lined sieve set over a bowl and let drain 20 minutes. Gather together sides of towel or filter and press gently on it to extract more oil. (You will have a generous 1/3 cup oil.) Reserve 1 tablespoon basil oil separately for serving. Scrape basil solids into a small bowl and reserve.
- Prepare grill for cooking over medium-hot charcoal (moderate heat for gas); see “Grilling Procedure,” below.
- While grill heats, cut off bottoms of eggplants, then cut 6 (1/2-inch-thick) crosswise rounds from each, starting from cut end. Reserve remaining eggplant for another use. Cut 4 (1/3-inch-thick) rounds from large tomato and 2 center slices (1/3 inch thick) from each medium tomato, reserving remaining tomato for another use.
- Lightly brush eggplant rounds on both sides with basil oil and sprinkle with 1/2 teaspoon salt and 1/4 teaspoon pepper. Grill on a lightly oiled grill rack, covered only if using a gas grill, turning over occasionally, lightly brushing eggplant with more basil oil occasionally if it looks dry, until eggplant is very tender, 6 to 10 minutes. (Leave gas grill on.)
- Make stacks: On baking pan, arrange 4 largest eggplant rounds side by side and spread each with a generous 1/2 teaspoon of reserved basil solids, then top each with 1 of 4 largest tomato rounds. Season tomatoes with salt and pepper and top each with about 1 tablespoon feta. Make another layer with medium-size eggplant rounds, basil solids, medium tomato rounds, salt, pepper, and feta, then top with remaining eggplant and feta.
- Set baking pan on grill and cook stacks, with grill cover closed, until heated through and cheese on top is softened, about 3 minutes. Transfer stacks to 4 plates and drizzle plates with reserved basil oil.