Di Giuseppe was noted for his performances of Italian repertory, including Alfredo in La traviata and Turiddu in Cavalleria Rusticana. He made frequent appearances at both the Metropolitan Opera and the New York City Opera.
He made his City Opera debut in 1965 as Michele in Menotti's Saint of Bleecker Street. He sang with Beverly Sills in some of her most famous roles at City Opera; he also recorded Norma with her.
Other notables Di Giuseppe sang with in the years following his Met debut in 1970 included Marilyn Horne, Christa Ludwig, Joan Sutherland, and Martina Arroyo. His final Met performance was in 1986.
Di Giuseppe was born in 1932 to Italian parents in Philadelphia. He played clarinet in the school band and later studied with former Met singer Richard Bonelli at the Curtis Institute. After serving with the United States Army Field Band, he studied at Juilliard with Hans Heinz.
He met his wife, soprano Lorna Ceniceros, while touring with the now defunct Metropolitan Opera National Company. Ceniceros told the Times that her husband had died of cancer. He was 73.