Preheat the oven to 450 degrees F.
Toss the eggplant with 4 tablespoons of the olive oil, Balsamic vinegar, salt and pepper to coat. Place on a baking sheet in 1 layer and bake for 15 minutes, turning once. Cool on the sheet pan.
In a small bowl combine the cheese, basil, and remaining tablespoon olive oil.
Place 1 eggplant slice on a salad plate. Top with 1 tablespoon of the cheese, then 1 slice of tomato. Drizzle 1 teaspoon of pesto oil over the tomato, then another tablespoon of cheese. Top with another eggplant slice, and continue assembling, with 3 eggplant slices per napoleon, and ending with a cheese layer on top drizzled with pesto oil. Repeat with the remaining ingredients. Serve at room temperature.
Yield: 4 servings