He is best known for his time performing for the Mexican professional wrestling promotion Consejo Mundial de Lucha Libre (CMLL) as well as the U.S. based Ring of Honor (ROH).

[7] During the summer of 2009, Muñoz was signed by one of Mexico's top promotions, Consejo Mundial de Lucha Libre (CMLL), and given the new ring name Rouge, which was soon afterwards tweaked to its current form, Rush.

[9] On January 2, 2011, Rush, Ángel de Oro and Diamante defeated Metal Blanco, Palacio Negro and El Sagrado in the finals of a two-week-long tournament to become the number one contenders to the Mexican National Trios Championship.

[15][16] In response to the backlash over his sudden push, Rush acknowledged his many detractors by posting a list of the various moves he could do in the ring, while also promoting his youth, strength and physique.

[26] On September 20, Rush, Ángel de Oro and Diamante lost the Mexican National Trios Championship to Los Invasores (Olímpico, Psicosis and Volador Jr.).

[28] The following month, Rush teamed up with Máximo and the returning Marco Corleone to form La Tercia Sensación,[29] later renamed El Bufete del Amor.

Rush and El Terrible eventually made it to the finals of the tournament on March 2, 2012, at Homenaje a Dos Leyendas, where they were defeated by the team of Atlantis and Mr.

[39] Rush returned to the promotion on July 29 at Last Rebellion, where he, Karl Anderson, MVP and Shelton Benjamin defeated Suzuki-gun (Minoru Suzuki, Lance Archer, Taichi and Taka Michinoku) in an eight-man tag team match.

[41] After three wins, one over IWGP Heavyweight Championship contender Tetsuya Naito,[42] and five losses, Rush was eliminated from the tournament on August 11,[43] eventually finishing last in his block.

[50][51] Rush and Diamante ended the tournament on November 28, 2012, with just four points after victories over Tencozy (Hiroyoshi Tenzan and Satoshi Kojima) and Complete Players (Masato Tanaka and Yujiro Takahashi), finishing in the last place in Group B, after losses to the teams of Chaos (Takashi Iizuka and Toru Yano), K.E.S.

(Lance Archer and Davey Boy Smith Jr.), Muscle Orchestra (Manabu Nakanishi and Strong Man), and finally Black Dynamite (MVP and Shelton Benjamin).

[57] Back in Mexico on January 22, Rush failed in his CMLL World Heavyweight Championship challenge against El Terrible, after being struck with a kick to the groin.

[60][61] Two weeks later they were on opposite sides of a six-man tag team match at the 2013 Homenaje a Dos Leyendas show, where Rush, Rayo de Jalisco Jr. and Shocker defeated El Terrible, Mr. Niebla and Universo 2000 by disqualification.

[64][65] On June 30, Rush won the Mexican National Trios Championship for the second time, when he, La Máscara and Titán defeated Los Invasores (Kráneo, Mr. Águila and Psicosis) for the title.

[66][67] On August 23, Rush entered the 2013 Universal Championship tournament, defeating El Terrible, La Máscara and Rey Escorpión to win his block and advance to the finals, to be held two weeks later.

[73] On September 13 at CMLL's 80th Anniversary Show, Rush pinned Negro Casas to win a six-man tag team match, while holding the ring ropes, a move commonly associated with rudos.

[76][77] On October 18, Rush and La Máscara were awarded the CMLL World Tag Team Championship, when Rey Bucanero, one half of the previous champions, was unable to defend the title due to an injury.

[81] On November 12, 2013, Rush received another shot at the CMLL World Heavyweight Championship, but once again failed in his attempt to dethrone longtime rival El Terrible.

[104] While the commission only suspended them from wrestling in Jalisco, CMLL decided to pull both Rush and La Sombra from their Super Viernes show three days later.

[107] On March 18, 2016, at Homenaje a Dos Leyendas, Rush won his sixth Lucha de Apuestas, when he defeated Máximo Sexy with help from Pierroth.

The main focus was building a rivalry between Rush and L.A. Park, believed to be leading to a Lucha de Apuestas, at the CMLL 85th Anniversary Show.

As part of the storyline Rush and El Terrible defeat Volador Jr. and Valiente to win the CMLL World Tag Team Championship on July 13, 2018.

In the main event of the anniversary show Rush and Cavernario won a tag team lucha de apuestas, forcing Volador Jr. and Taven to have their hair shaved off for the first time in their careers.

[146] On December 14 at Guerra de Titanes, the now-renamed "Rush El Toro Blanco" teamed with Blue Demon Jr. and Rey Escorpión to defeat Psycho Clown, Dr. Wagner Jr., and Drago.

[154] On the July 27 at Fight for the Fallen, Rush faced Jon Moxley in an AEW Interim World Championship eliminator match, but lost.

[159] On the October 21 edition of Rampage, Rush competed in a three-way match for the AEW All-Atlantic Championship involving 10 and champion Orange Cassidy.

[167] On the Collision edition of Grand Slam on September 28, Rush reformed La Facción Ingobernable (LFI) with his brother Dralístico and The Beast Mortos.

On the October 8 episode of Dynamite, it was revealed that Rush and the rest of LFI were acquired by Jake Roberts in exchange for Lance Archer going to The Don Callis Family.

Over the years William Muñoz has cultivated the Rush persona into one of the top level wrestlers in Mexico, as he is often involved in main event matches when he wrestles for CMLL or on the Mexican independent circuit.

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