As the granddaughter of Francis Ford Coppola, niece of Sofia Coppola, and—most important—an up-and-coming Italian-American director herself, Gia Coppola was a fitting choice to host Peroni’s summer celebration of Italian cinema, the Grazie Cinema Series. The festival kicked off on Tuesday evening on the Hudson Hotel rooftop with “Divorce Italian Style,” a film made in the 1960’s starring Marcello Mastroianni. “You can’t host an Italian film festival without Marcello Mastroianni. It just doesn’t feel right,” Coppola said before the event, adding that her family has always had a soft spot for this particular comedy. Throughout the summer, a selection of films curated by Coppola, will be screened in Miami, New York, and Los Angeles, each accompanied by “The Magic Word,” a short film Coppola commissioned from her good friend Tracy Antonopoulos for the occasion.