Through CMLL's working relationship with New Japan Pro-Wrestling (NJPW), Tetsuya Naito joined the stable in 2015, eventually forming an offshoot group named Los Ingobernables de Japón in the Japanese promotion.

On March 24, 2021, CMLL announced the re-establishment of the group, dubbed Los Nuevos Ingobernables (Spanish for "The New Ungovernables"), led by El Terrible.

[4] Throughout his career in Consejo Mundial de Lucha Libre (CMLL), Rush had been presented as a técnico or a "hero" character, but who had also occasionally showed villainous rudo tendencies during his matches.

In mid-2013, this part of Rush's storyline was once again brought to the forefront as the crowd reaction to him grew more and more negative,[16][17] leading to him eventually being dubbed "the most hated wrestler in CMLL", despite still officially being a técnico.

[13][24] Though the three effectively became rudos, with CMLL dubbing Rush and La Sombra in particular as the two most hated men in the promotion's recent history, they refused to acknowledge themselves as such, instead calling themselves "técnicos diferentes".

[30] The rivalries both culminated on August 1 at El Juicio Final, where La Sombra lost the NWA World Historic Welterweight Championship back to Volador Jr., while Rush defeated Casas in a Lucha de Apuestas ("bet match"), forcing him to have his head shaved.

[35] While he was touring CMLL in May and June 2015, La Sombra's New Japan Pro-Wrestling (NJPW) tag team partner Tetsuya Naito was made the fifth member of Los Ingobernables.

After failing to get along with his partners throughout the match, Corleone stood up for Máximo as he was being brutalized by Rush and La Máscara, leading the two to turn on him and kick him out of Los Ingobernables.

[46] On May 13, the three Los Ingobernables members were defeated by TGR (Rey Bucanero, Shocker and El Terrible) in a six-man tag team match, after which Rush and Pierroth turned on La Máscara and attacked him.

[50][51] Though it was initially left unclear as to what this meant for Los Ingobernables,[52] La Máscara eventually rejoined the stable, once again becoming its third member,[53] following Rey Escorpión's departure from CMLL.

[62][63] In September, Rush and Pierroth, with CMLL's blessing, began taking independent bookings with The Crash promotion, where they reunited with former stablemate La Máscara.

On December 14 at AAA's Guerra de Titanes, Rush El Toro Blanco teamed with Blue Demon Jr. and Rey Escorpión to defeat Psycho Clown, Dr. Wagner Jr., and Drago.

[3][71] The following day on December 15 at ROH's Final Battle Fallout, Rush introduced the American branch of LFI, including himself, Dragon Lee, Kenny King and Amy Rose.

[74] The AAA branch was further affected by Mexico's handling of the COVID-19 pandemic, so Rush El Toro Blanco and L.A. Park resumed their long-running feud on Twitter over the next couple of months, potentially setting up a hair vs. mask match.

In April 2016, Dave Meltzer of the Wrestling Observer Newsletter wrote that the Los Ingobernables concept of having Rush, once a babyface rejected by Arena México crowds, turn heel and "embrace the negative", had made him a "far more effective headliner".