1. Heat grill. In large bowl, combine oil and salt. Add mushrooms, zucchini, and bell peppers; toss to coat.
2. When ready to grill, place mushrooms and bell peppers in a grill basket or directly on grill over medum heat. Cook 8-10 minutes, until vegetables are crisp-tender, turning occasionally.
3. On large platter, arrange mozzarella slices, tomato slices and vegetables in a single layer, overlapping slightly. Drizzle salad dresisng over salad. Sprinkle with parsley.