Begin by preparing the chicken marinade. In a medium bowl, whisk together the sweet chili sauce, soy sauce, grated ginger, and minced garlic until well blended. Add the chicken breasts to the marinade, ensuring they are fully coated. Cover and refrigerate for a minimum of 30 minutes, allowing the flavors to infuse. For the best results, marinate for up to 2 hours.
Once the chicken has marinated, heat a non-stick skillet over medium heat. Carefully remove the chicken from the marinade (make sure to reserve the marinade) and place it in the skillet. Cook the chicken for approximately 6-7 minutes on each side, or until the chicken is fully cooked, golden brown, and juices run clear.
After cooking, transfer the chicken to a cutting board and let it rest for about 3-5 minutes. Once rested, slice the chicken into thin, bite-sized strips to ensure they fit perfectly in the wraps.
In the same skillet, pour in the reserved marinade along with a splash of water. Bring the mixture to a gentle simmer over medium heat, allowing it to cook for 2-3 minutes until it thickens slightly. Remove from heat and set aside, letting the flavors meld further.
To construct the wraps, place one tortilla on a clean, flat surface. Layer a few fresh lettuce leaves in the center, followed by a generous portion of the sliced chicken, shredded carrots, bell pepper slices, and julienned cucumber.
Drizzle a spoonful of the thickened marinade over the fillings to enhance their taste and tie the flavors together.
Carefully roll the tortilla tightly around the delicious fillings, folding the sides inward as you encase the contents, ensuring everything stays secure inside.
With a sharp knife, slice the wrap in half diagonally for an inviting presentation. Finish off with a sprinkle of sesame seeds and fresh cilantro leaves on top for a burst of flavor and visual appeal.