Career
Born in Florida, Gassire began playing football with the youth teams of Central America Peñarol. He made his professional debut with Montevideo Wanderers F.C. in 1963, and two years later he moved to Defensor Sporting for six seasons. In 1974, Gassire moved to Mexico where he spent six seasons with Deportivo Toluca F.C., winning the league in 1974-1975.
He developed brain cancer while playing with Toluca in 1980.
He recovered and joined Atletas Campesinos but had an injured Achilles tendon and left after six months. He next had a brief stint at Atlético Español and then finished his career at Tampico Madero in 1983.
After he retired from playing, Gassire became a football coach. He was an assistant manager with Toluca in 1986 and again with former teammate, Héctor Hugo Eugui, in 2011.