Cook pasta according to package instructions. Drain and place in a large bowl.
Preheat grill on medium/high.
Toss carrots, zucchini, red onion and brussel sprouts in a bowl with olive oil, salt and pepper.
Lower heat on grill to medium/low and place vegetables on grill (use a grill basket or mesh pan for any smaller vegetables, to avoid falling through).
Cook vegetables 10-15 minutes, turning occasionally. Add garlic during last 5 minutes of cooking.
Chop grilled vegetables into bite sized pieces and toss in with the pasta.
Smash the garlic with a heavy knife and chop. It should very easy turn to a paste. Add to pasta.
Chop prosciutto and add to pasta bowl as well.
Stir in parmesan cheese.
Toss everything with the vinaigrette and serve with additional parmesan cheese if desired.