In the following year, he scored the goal in extra time that won the championship for León against Puebla.
He scored three times in the 1992–93 season and then moved to Guadalajara, where he played three years before returning to León.
Turrubiates again reached the final with León during the Invierno 1997 campaign, only to lose in extra time on this occasion to Cruz Azul on a penalty from Carlos Hermosillo.
Moving to Atlante in 1998, Turrubiates came back for a third stint at León in 1999 and played his final top-division season in 2000.Turrubiates also earned 7 caps for the Mexico national team.
He subsequently appeared for Mexico's victorious team in the 1993 CONCACAF Gold Cup, coming off the bench in the semifinal against Jamaica, but was unable to make the World Cup squad coached by Miguel MejÃa Baron.
Three years later, Turrubiates returned to the national team under Bora Milutinovic, starting in Mexico's 1–0 loss to Jamaica in a World Cup qualifier on 17 November 1996.
His final cap was on 5 February 1997, when he played the first hour in a 3–1 victory over Ecuador before being replaced by the 17-year-old Rafael Márquez, who was making his international debut.