Add chicken and marinade ingredients to a Ziplock bag or small container or bowl. Massage marinade into the chicken until well coated. Close or cover and marinade in the fridge for at least 15 minutes. The longer the better.
Meanwhile, heat a skillet with cooking oil over medium heat. Saute onions, garlic, and bell pepper until soft.
Add tomatoes, parsley/coriander, onion, garlic, and lime/lemon juice to a small blender. Process until smooth tomato-salsa paste. Or skip the blending step and serve in chunky salsa instead. Season with salt and pepper to taste.
In a skillet, heat cooking oil over medium heat. Cook chicken with the marinade until cooked through and nicely browned. Add honey and extra soy sauce and cook until lightly caramelized or glazed.
Slightly warm wraps in a dry pan or in the oven.
Assemble/top wraps as you like.