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TripleManía XIII was the nineteenth overall TripleManía wrestling show promoted by Asistencia Asesoría y Administración (AAA). The show took place on June 20, 2005 in Guadalajara, Jalisco, Mexico. The Main event featured a Six-man "Lucha Libre rules" tag team match between the teams of Latin Lover, La Parka and Octagón and Los Hell Brothers (Chessman and Cibernético) teaming with Fuerza Guerrera.
The event featured seven professional wrestling matches with different wrestlers involved in pre-existing scripted feuds, plots and storylines. Wrestlers were portrayed as either villains (referred to as rudos in Mexico) or fan favorites (técnicos in Mexico) as they followed a series of tension-building events, which culminated in a wrestling match or series of matches.
|1||El Angel, Sexy Francis, Lady Apache and Mascarita Sagrada went to a no contest with El Texano, Polvo de Estrellas, Tiffany and Mini Abismo Negro||Eight-man "Atómicos" tag team match|
|2||the Monsther, Pirata Morgan and Tinieblas Jr. defeated El Alebrije, Hijo del Anibal and Tinieblas Sr. by disqualification.||Six-man "Lucha Libre rules" tag team match|
|3||CIMA, Electroshock and El Intocable defeated Mr. Águila, Charly Manson and Hator||Six-man "Lucha Libre rules" tag team match|
|4||Psicosis went to a non contest with Psicosis II||steel cage match for the rights to the name "Psicosis", Histeria interefered to cause the no contest. Psicosis would later lose the right to the name in Mexico and work as Nicho "El Millonario"|
|5||Juventud Guerrera, Luzbel and El Zorro defeated Al Katrazz, Predator and Apocalypse by disqualification||Six-man "Lucha Libre rules" tag team match|
|6||Konnan defeated Vampiro by technical knock out||Singles match|
|7||Latin Lover, La Parka and Octagón defeated Los Hell Brothers (Chessman and Cibernético) and Fuerza Guerrera||Six-man "Lucha Libre rules" tag team match|
(C) refers to the champion heading into the match