ROME The Cleveland Museum of Art has agreed to hand over 13 ancient artifacts and an early Renaissance cross to Italy after long negotiations, the museum and Italian officials announced here on Wednesday. The accord, signed at a news conference, is the fifth that Italy has struck over the last three years with an American museum in its campaign to win back artifacts that it asserts were looted in recent decades from Italian soil. The processional cross, dating from around 1350, was not excavated but apparently was kept at a church near Siena, Italy, until the 1970s. The museum purchased it in 1977 from a German dealer, Cleveland officials said. As part of the pact the Italian Culture Ministry plans to lend objects of similar value to the Cleveland institution and cooperate on exhibitions and cultural exchanges. Yet not all has been resolved. A committee will be set up to discuss two other objects in Cleveland: a first-century chariot attachment depicting a Winged Victory with a cornucopia, and a renowned fourth-century B.C. bronze statue of Apollo slaying a lizard, which the museum attributes to the classical Greek sculptor Praxiteles. The museum bought the statue in 2004 from a Swiss gallery that belongs to Hicham and Ali Aboutaam. Experts said it has puzzling gaps in its ownership history. Last year the Louvre in Paris withdrew a request to borrow the statue for an exhibition on Praxiteles after the Greek government said it was fished out of international waters and belonged to Italy. "Let's just say the Greeks put the organizers in Paris in a rough place," said Timothy Rub, director of the Cleveland Museum of Art. Forensic tests would be carried out on the statue, he said, "to see what they can tell us about its origins." The panel will report on the other artifacts in Cleveland in six months, officials said. For the most part the objects claimed from the Cleveland museum including a fourth-century B.C. Apulian volute krater by the so-called Darius Painter and a ninth-to-sixth-century B.C. bronze of a warrior from Sardinia were acquired in the 1970s and 1980s. Several were donations. Mr. Rub said the museum acted in good faith when it acquired the pieces, but when presented with evidence of problems, it resolved to "honor our obligation to acquire in a manner that is ethical and transparent" and returned the works "to their rightful owner." The 14 objects are to be shipped to Italy within three months. Dozens of artifacts have been returned to Italy since 2006 by the Metropolitan Museum of Art in New York; the J. Paul Getty Museum in Los Angeles; the Museum of Fine Arts, Boston; and the Princeton University Art Museum.