The stadium has also hosted club international tournaments, such as the CONCACAF Champions League and Copa Interamericana.

Estadio Cuauhtémoc played host to the Uruguay national football team for the 1970 FIFA World Cup.

Italy played against Argentina on June 5, 1986, where they tied 1–1 with a goal from the football legend Diego Armando Maradona.

The second game was against the Korea Republic national football team, who Italy managed to defeat 3–2.

In the round of 16 match, Argentina defeated Uruguay 1-0 in El Estadio Cuauhtémoc, which was played on June 16, 1986.

In the quarter-finals, the stadium hosted the match between Spain and Belgium which ended in a 1–1 draw, sending them to extra time, and ultimately to a penalty shootout.

Van der Elst would score the final and deciding goal, sending Belgium to the semi-finals.

In early 2014, the Governor of Puebla, Rafael Moreno Valle Rosas announced the official project.

ETFE has been used in many world renowned architectural works, such as the Water Cube for the Olympics in Beijing, and by many European stadiums such as the Allianz Arena in Munich.

On November 18 the stadium was reopened in a friendly match against Boca Juniors of Argentina before Puebla's final week of Liga MX Apertura 2015.