Preheat griddle top or grill (use a grill basket) to medium-high heat.
Combine all of the ingredients into a large bowl. Toss to coat evenly.
Pour contents of bowl on to hot griddle (or into grill basket). Spread out as much as you can and cover close lid. Let cook for 8 minutes then open lid and stir and flip tortellini mixture around. Close lid and cook another 8 minutes.
Remove from griddle (or grill) and serve right away.