On July 15, Staten Island pizzeria Valducci’s will launch a lunchtime pizza truck in Chelsea that will extend its hours (up to 24 on some days) starting in September. Owner Mike Vallario has already sent the truck to cultivate a following for Valducci’s signature Sicilian pie cheese under sauce by distributing free slices at 24th Street near Broadway. (The truck is out sporadically, so you’ll have to walk by to see if it’s there.) But the truck is also a precursor to a pizza bar he wants to open nearby at 27 West 24th Street by December. The restaurant menu will have two options, Sicilian or round, and a full bar.