Their stint in Primera Division was cut short after losing the relegation playoff against Laguna in the 1973–74 season.
It did not take long for San Luis to once again win Segunda Division and in 1975–76 they achieved the title and the right for promotion for the 1976–77 season.
In the end of a great season in 1976–77 where they reached the championship playoff, the franchise was sold to Tampico Madero who took over their spot in Primera Division.
It was also announced that San Luis would move to Tuxtla Gutiérrez and be renamed Chiapas F.C., replacing the new outgoing Querétaro.
These changes have sparked controversy in the Mexican press as Querétaro effectively bought its place back in the first division and newly promoted La Piedad completely lost its team.