Preheat grill to 300° to 350° (medium) heat. Sprinkle zucchini and chicken with seasoning.
Grill zucchini and chicken at the same time, covered with grill lid. Grill zucchini 6 to 8 minutes on each side or until tender. Grill chicken 5 to 6 minutes on each side or until done. Remove from grill; let stand 10 minutes.
Meanwhile, prepare tortellini according to package directions.
Coarsely chop chicken and zucchini. Toss tortellini with pesto, tomatoes, chicken, and zucchini. Serve immediately. Garnish, if desired.
Note: We tested with McCormick Italian Herb Seasoning Grinder.