In 2004, after Último Dragón left Toryumon with the name and trademarks associated, the Toryumon Japan roster and staff formed Dragon Gate and a second Rey de Parejas tournament was held to establish the inaugural Open the Triangle Gate Championship as a spiritual successor to the UWA World Trios Championship.
The two top-scoring teams in each block advance to a single-elimination playoff to determine the winners of the Rey de Parejas.
The tournament featured seven trios competing in a single block to win the newly created Open the Triangle Gate Championship.
[28] Do Fixer (Magnum Tokyo/Ryo Saito, Dragon Kid and Genki Horiguchi), Final M2K (Masaaki Mochizuki, Susumu Yokosuka and K-ness.)
and Italian Connection (Milano Collection A. T., Yossino and Anthony W. Mori) finished tied in second place with 6 points each and equal head-to-head results.
The next day, they won the final against Aagan Iisou (Shuji Kondo, "brother" Yasshi and Takuya Sugawara) and became the first Open the Triangle Gate Champions.
[104] Kotoka qualified to be Don Fujii's partner by beating Shisa Boy, Super Shenlong and Eita Kobayashi.
Super Shenlong III qualified to be Shingo Takagi and Yamato's partner and represent Akatsuki by beating Chihiro Tominaga.
[117] On September 12, the Block A match pitting Shingo Takagi and Akira Tozawa against World-1 International representatives Naruki Doi and Masato Yoshino ended in a no contest decision when the Mad Blankey stable intervened and Doi betrayed his partner Yoshino and joined Mad Blankey, effectively disbanding World-1 International.
[157] Futa Nakamura suffered an injury just before the start of the tournament, forcing him and his partner Masaaki Mochizuki to forfeit their first three matches.
After a seven-year hiatus, a tag league was held from February 3 to March 2, 2023 under the revived name of Rey de Parejas.