Heat vegetable oil in a large skillet over medium-high heat.
Season chicken strips with salt and black pepper.
Add chicken to the skillet and sauté for 8-10 minutes until golden brown and cooked through.
Reduce heat to low and pour sweet chili sauce over the chicken, stirring to coat evenly for 2 minutes.
Lay tortillas flat and spread a layer of mayonnaise on each.
Distribute shredded lettuce, bell peppers, and red onion evenly across the center of the tortillas.
Place the sweet chili chicken strips on top of the vegetables.
Fold in the sides of the tortillas and roll tightly to form a wrap.
Slice diagonally and serve immediately.