
In 2001 Rayo de Jalisco Jr. dropped the "Junior" part of his name as his son, who had wrestled for two years, took the "Rayo de Jalisco" name, sometimes billed as el Hijo de Rayo de Jalisco Jr. (the son of Rayo de Jalisco Jr.) and other times simply Rayo de Jalisco Jr.. The confusing name changes only lasted for a couple of months before Rayo Jr's son changed his name to Hombre sin Nombre (the man without name) as part of a storyline where the son was trying to get out from Rayo de Jalisco Jr.'s shadow. His son would later begin working as "Rayman", the same name that Rayo de Jalisco Jr. originally used. Since 2003 Rayo de Jalisco Jr. has not worked for CMLL on a regular basis, instead he works for a number of Independent circuit Mexican promotions. On March 21, 2003, Rayo de Jalisco Jr. won the WWA World Heavyweight Championship, defeating Rey Misterio Sr. in the finals of a tournament to crown a new champipn. Rayo de Jalisco Jr. still holds that title to this day, 17 years, 66 days later. In 2004 Rayo de Jalisco Jr. made a brief return to CMLL teaming up with Black Warrior and El Canek to win the CMLL World Trios Championship from Dr. Wagner Jr., Universo 2000, and Black Tiger (III). The team quickly lost the title to Héctor Garza, Tarzan Boy, and El Terrible. In 2005 Rayo de Jalisco Jr. suffered another serious injury when he injured both his knees in a match against Máscara Año 2000; his legs got caught on the ropes as he jumped out of the ring and he tore ligaments in both knees. The injury kept him out of the ring for almost half a year but he made a full recovery and returned to the ring. Rayo de Jalisco Jr. made his return to CMLL in May 2010, siding with the CMLL loyalists in their feud with Los Invasores, especially Invasore members Universo 2000 and Máscara Año 2000, reiginting the long running storyline between them. Rayo de Jalisco Jr. only worked a few matches for CMLL in mid-2010 but returned to the promotion in early 2013. He was on hand for a press conference, announcing that CMLL's annual Homenaje a Dos Leyendas show would pay tribute to his father, Rayo de Jalisco Sr. During the press conference he was confronted by longtime rival Universo 2000 who challenged him to a match for the Dos Leyendas show. At the show, Rayo de Jalisco Jr., Shocker, and Rush defeated Universo 2000, Mr. Niebla, and El Terrible by disqualification. Two days later, on March 17, 2013, Rayo de Jalisco Jr. competed in a four-way, steel cage match billed by IWRG as Prison Fatal ("Deadly Prison") against Cien Caras Jr., Máscara Año 2000 Jr., and Pirata Morgan. During the match Hijo de Máscara Año 2000 interfered, which caused Pirata Morgan Jr. to enter the match as well to escalate the rivalry between Los Piratas and Los Capos Junior. The match ended with Pirata Morgan being the last man in the cage and thus had his hair shaved off.
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