[1] He studied at St. Thomas Seminary in Bloomfield, Connecticut; Saint Paul University in Ottawa, Ontario; and the American College of the Immaculate Conception in Leuven, Belgium.

[3] Mulvee did pastoral work for several years before furthering his studies in Europe, earning a Doctorate of Canon Law from the Pontifical Lateran University in Rome (1964) and a Master of Religious Education degree from the Catholic University of Louvain in Belgium[1] Following his return to New Hampshire, Mulvee was named assistant chancellor of the diocese and in 1966 a papal chamberlain by the Vatican[1] On February 15, 1977, Mulvee was appointed as the first auxiliary bishop of the Diocese of Manchester and titular bishop of Summa by Pope Paul VI.

[3] During his tenure as bishop of Wilmington, Mulvee emphasized collegiality in his administration of the diocese, helped restructure the Delmarva Ecumenical Agency into the Christian Council of Delaware and Maryland's Eastern Shore, and founded three new missions and raised a fourth to parish status.

On September 10, 2002, Mulvee announced a $13.5 million settlement of 36 victim lawsuits involving sexual abuse by 11 priests and one nun from the diocese.

[5]Upon reaching the mandatory retirement age of 75, Mulvee submitted his letter of resignation to John Paul II on February 15, 2005.