MOVING DAY: Is Mario Grauso, president of Puig Fashion Group, eyeing the door? According to sources, the veteran executive has submitted his resignation and will step down next month after New York Fashion Week. A search for Grauso’s successor is already under way — with running the fashion house Carolina Herrera among chief duties. It is understood Grauso’s forthcoming exit is largely amicable and comes at the end of his contract, although one source speculated he was unhappy with the recent departure of Nina Ricci’s design star Olivier Theyskens (who was succeeded by Peter Copping from Louis Vuitton). Grauso joined Herrera as president about 10 years ago, and since 2004, also has overseen the Ricci and Paco Rabanne fashion houses. Before joining Herrera, Grauso was U.S. president of Celine and executive vice president at Vera Wang. Neither Grauso nor Puig officials could be reached for comment Wednesday.