Cuccurullo's songwriting, guitar skills and driving personality contributed to the band's return to fame with 1993's "Wedding Album". He earned co-writing credits on the hit singles "Ordinary World" and "Come Undone", although the lyrics were written by Simon Le Bon. He created new arrangements for many of the band's old hits for the acoustic-flavored tour that followed, as well as arranging full acoustic pieces for the piano and six-piece string section that performed with them on the "MTV Unplugged" show. After Frank Zappa's death in December 1993, Cuccurullo performed the instrumental guitar piece "Watermelon in Easter Hay" (from the "Joe's Garage" album) in his honor at several Duran Duran shows.