In a medium pot, combine chicken, sweet chili sauce, soy sauce, and lime juice over medium heat. Cover and let simmer, stirring occasionally for 15-20 minutes, until chicken is cooked.
Shred chicken into chunks when it is cooked through, uncover the pot, turn heat down to low, and let chicken simmer and thicken while you prepare the vegetables.
Wash and dry lettuce, shred carrots and prepare other vegetables.
To make a wrap, lay a few pieces of lettuce on a wrap of your choice, top with shredded veggies and big spoonfuls of chicken (drain off any extra liquid). Drizzle on extra sweet chili sauce and roll wrap up. Serve immediately!
