Zubia started his career at River Plate de Montevideo, where he impressed the national team, earning a spot on the 1970 Uruguay World Cup team.
He then transferred to cross-town team Peñarol, where he was able to play in his first Copa Libertadores in 1971.
In 1972, Zubia made the move to Ecuador to play for LDU Quito, where he helped the team earn its first two national championships also becoming the national top scorer with 30 goals. He retired from football after his participation at the Quito club.
Since retiring from footballer, Zubia has stayed on with LDU Quito as a manager at the youth and senior level. He was the senior team coach from 1997-1998.
Currently works as a Scout and Coaching the minor leagues in LDU Quito