Fire up your grill for direct cooking over medium heat.
Note: You can make these veggies in a grill basket or in foil packets.
Combine all ingredients except for the cheese.
Divide between large pieces of foil and seal tightly or transfer to a large grill basket.
Place over the fire and grill for 15 minutes or until the vegetables are the desired tenderness, tossing or shaking occasionally.
Remove from grill. If using packets, open them carefully as they will be full of steam.
Serve garnished with the Parmesan cheese.