Store any leftover unassembled grilled chicken in an airtight glass container in the refrigerator for up to 4 days. Do not store fully assembled wraps because the wet vegetables will ruin the dough overnight. You can freeze the cooked cubed meat in a heavy plastic freezer bag for up to 3 months safely. Reheat the chicken pieces in a skillet over medium heat with 1 tablespoon of water for 3 minutes until warm. Assemble the wrap with fresh ingredients then toast in a hot pan until the wrap turns golden. Look for any sour smells or slimy textures on the meat as clear signs of spoilage.