In a medium bowl, mix together the first 7 ingredients. Add the chicken breasts, and marinate in the refrigerator for 1 hour.
Coat grill grates or grill pan with non-stick spray, if desired, and preheat until very hot. Remove chicken from marinade, and grill until cooked through, about 10 minutes. Cool slightly, and chop chicken into 1/2” cubes.
Toss chicken in a large bowl with salt, tomato, romaine lettuce, extra-virgin olive oil, red wine vinegar and feta.
Divide chicken mixture evenly between the pitas or wraps, centering a scoop on each one. Roll bread around mixture to create a stuffed wrap, and package each one tightly in foil or plastic wrap. Refrigerate until ready to serve.