Light your Stok grill and allow to preheat to 300 degrees. Begin to slice vegetables while grill heats. Chop basil, eggplant and tomatoes and set aside.
Brush eggplants slices with olive oil and salt and pepper to taste.
Place eggplant on grill and heat until tender, approximately 2 - 21/2 minutes a side. Can pierce with knife to check tenderness. Grill tomatoes in the same manner for 1 minute per side.
Preheat oven to 400 degrees. Place bread crumbs on cookie sheet and cook 8 minutes until golden and crispy. Combine bread crumbs, basil and cheese in bowl and set aside.
Spread eggplant on platter and layer with tomatoes, then sprinkle wit olive oil. Spread the bread crumbs on top and serve immediately.