Vegetarian Muffalettas

Preheat grill to high.

Toss eggplant, bell pepper, zucchini, oil, salt and pepper in a large bowl. Grill the vegetables, turning occasionally, until charred and tender, 6 to 10 minutes total. Grill rolls until toasted, 2 to 3 minutes. Put a piece of cheese on the bottom halves of the rolls as they come off the grill, to melt the cheese a little.

Reserve 4 roll-size eggplant slices, 2 zucchini slices and 2 bell pepper pieces. Finely chop the remaining vegetables and combine in a bowl with olives, banana peppers and vinegar; divide among the cheesy rolls. Place a reserved eggplant slice on top of each. Cut the reserved zucchini slices in half crosswise and thinly slice the bell pepper; place on the eggplant. Cover with the roll tops.