To a jar with a tight-fitting lid, add the Parmesan, olive oil, mustard, vinegar and salt. Screw on the top and shake vigorously to emulsify. Set aside to let the flavors marry.
In a large bowl, toss together the romaine, radicchio, basil, cucumber, avocado and pita chips. Pour the dressing over the salad, sprinkle with the salt and toss gently to coat and combine.
Recipe courtesy of Giada De Laurentiis