Begin preparing the ingredients to add to the wrap. Wash and then chop your vegetables into roughly one inch by ¼ inch slices. Shred the chicken into strips; to make the preparations take less time, use leftover chicken from other meals. The chicken can be baked, grilled, or even a rotisserie, and it does not need to be warmed up ahead of time since the wrap is served cold. In this step, you should also cut up the cheese into pieces that are about the same size as your vegetables and mince your basil.For the wrap, dried basil is not a good option as it will not have the strong flavor you need, so make sure you use fresh instead.