From the 1920s to the 1970s more universities and colleges joined the championship, and four categories, called fuerzas were created.
In 2010 a breakaway league, CONADEIP, was formed by the Monterrey Institute of Technology and Higher Education system, UDLAP and additional private universities.
In 2017, the leagues started staging regular season matches and a National Championship.
However, that only lasted for a year as in 2018, they did not stage regular season matches and cancelled the National Championship Game.
The only two ONEFA teams that have maintained scheduling games (preseason) from 2013-2019 are the Borregos Salvajes Monterrey and the Auténticos Tigres UANL.