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The team spent the first four years of its existence a member of the higher-tier Chinese National Basketball League, until getting "promoted" ahead of the 2013–14 CBA season, after winning the NBL championship in 2013.

Affectionately referred to by many local fans as the Sichuan Army (川军), the club received international media attention during the 2014–15 CBA season, after signing former NBA All-Star Metta World Peace. Embracing his move to China, the man born as Ron Artest soon gave himself a new name, The Panda's Friend.

The team missed the CBA Playoffs for a second straight year, however, finishing 18th of 20 clubs with a record of 8–30, and despite telling reporters he "had indeed found a bit of inner peace in Sichuan", World Peace headed to Italy after the campaign ended. His departure left the Blue Whales to adopt a different offensive approach for the 2015–16 CBA season.

During the ensuing campaign, Sichuan would reach surprising success by finishing in third place in the regular season standings with a record of 30–8, and earning the third seed in the playoffs. The Blue Whales tied the Xinjiang Flying Tigers for the second-best record in the regular season, and matched up with them in the semi-final round of the playoffs. The team advanced to the 2016 CBA Finals against the Liaoning Flying Leopards after sweeping the Guangsha Lions and the Xinjiang Flying Tigers in the first two rounds of the postseason.

During the Finals, the Blue Whales lost their first game against the top-seeded Flying Leopards, before winning four straight contests to claim their first-ever CBA championship. The series was notable for a very controversial situation, however, as a brawl between a group of Sichuan fans and several Liaoning players erupted at a hotel lobby in Chengdu after Game Three. Footage of the incident went viral on numerous Chinese and international websites, and the league received scathing criticism from the country's media. The Blue Whales were fined by the CBA for not providing adequate security, while the Flying Leopards that were involved in the fight were to be disciplined at the start of the following season. Hamed Haddadi would also be the first Asian to not be born in a Chinese providence to be named the CBA Finals MVP in 2016.