The club started the 1970s once again in the first division; in the 1970–71 tournament the club finished tied for second in Group Corsairs 5 points behind the group leader and league runner-up Toluca. In the 1971–72 tournament the club finished fifth in Group A 15 points behind leader and league champion Cruz Azul. In the 1972–73 tournament the club just barely avoided relegation and finished four points ahead of Pachuca. The club struggled the following year finish in eighth in group 8 Group A once again avoiding relegation. In the 1974–75 tournament the club's struggles continued once again finishing in the bottom five. In the 1975–76 the club once again avoided relegation finishing six points ahead of Atlante, who was relegated. It was finally in the 1976–77 tournament when the club could not avoid relegation after having a bad year, finishing with 27 points—fewest in the league.