When Woody Allen agreed to direct the Puccini opera “Gianni Schicchi” for the Los Angeles Opera, he said, “I have no idea what I’m doing.” Now he will have a second chance to prove that when his production opens the Festival of Two Worlds in Spoleto, Italy. The organizers of the annual festival of music, dance and art, founded by the composer Gian Carlo Menotti, said this year’s event would begin on June 26 with Mr. Allen’s version of the comedic opera. Other events include a production of Beckett’s play “Krapp’s Last Tape,” performed and directed by Robert Wilson, and the ballet “Russian Seasons,” choreographed by Alexei Ratmansky. Giorgio Ferrara is the artistic director; the dance director is Alessandra Ferri. A complete program is at festivaldispoleto.com.