In 1969 the Liga Nacional Colegial (Collegiate National League) was established as the top college football championship in Mexico.

[5] For the 1970 season UNAM agreed to create three teams: Águilas Reales (Royal Eagles), Guerreros Aztecas (Aztec Warriors) and Cóndores.

[8] In 1975 Neri Fernández retook control of the team but did not have a good season, finishing with a 2–3 record and unable to qualify to the playoffs.

[8] In 1976, UNAM's authorities decided to replace Neri Fernández with a young Diego García Miravete, who previously played with the Condors as defensive end during the early seventies.

[9] In 1994 Diego García Miravete was replaced by Arturo Alonso, who led the Cóndores for two seasons without winning any title.

Condors CDMX, a team from the Liga de Fútbol Americano Profesional, took its name and colors as an homage to the Cóndores.