In 1991, Gómez became a regional representative of the National Association of Hispanic Priests. He became its president in 1995 and served as executive director from 1999 to 2001. In 2003, he earned the annual National Association of Hispanic Priests Award, "El Buen Pastor". From 1997 to 1998, he served as a member-at-large on the Board of Directors for the National Catholic Council of Hispanic Ministry, and was elected its treasurer in 1999. From 1998 to 2000, he was on the steering committee for Encuentro 2000, a national celebration of the Jubilee Year 2000. Along with Cardinal Norberto Rivera Carrera, he played a key role in the establishment of the Hispanic Seminary of Our Lady of Guadalupe in Mexico City, which opened in August 2000. He also spearheaded the establishment of Centro San Juan Diego for Family and Pastoral Care, a place for formation of lay leaders and a base to provide welcoming services to immigrants, in Denver, Colorado. In 1999, he became the vicar of Opus Dei for Texas.