[4] During his career he won five Grand Slam doubles tournaments and was a member of the winning Davis Cup team on three occasions.

Mulloy reached the U.S. Championships men's singles final in 1952, losing to second-seeded Frank Sedgman in three straight sets.

[7] Mulloy, who served as the commanding officer of USS LST-32 during World War II in the Mediterranean Theater, was inducted into the International Tennis Hall of Fame in Newport, Rhode Island, in 1972.

In 2015 Mulloy was awarded a French Legion of Honor knighthood for his service in the US Navy in relation to operations in Italy and Provence.

He recruited to Miami and played doubles with George Toley, who went on to win 10 NCAA team titles at the University of Southern California.

He played the senior circuit around the world into his nineties, and established the Mulloy Cup for international competition between men tennis players 80 years of age and over.

[10][11] Mulloy died in Miami on November 14, 2016, from stroke complications, aged 102, survived by his second wife, his daughters, four grandchildren, and nine great-grandchildren.