Mix together the shredded chicken, soured cream, yogurt or mayonnaise with the pesto. Season.
Lay a slice of cheese on each wrap, then divide the chicken mixture between them. Sprinkle with red pepper or sweetcorn, then top with the lettuce leaves. Be careful not to overfill or it will be tricky to contain all the filling. Wrap and roll each one, then pack in a lunchbox or tightly wrap in foil.