Argi Cortés has four losses against four opponents on his boxing record. For a list of Cortés's best fights, refer to "Best fights of Argi Cortés".
On September 18, 2023 Argi Cortés fought Junto Nakatani in a super-flyweight world-title fight for Nakatani's WBO title. Cortés was 28 years old and with a record of 25-4-2 (10), and Nakatani was 25 years old and with a record of 25-0 (19). Cortés lost the fight via 12-round unanimous decision.
On September 3, 2022 Argi Cortés fought Juan Francisco Estrada in a super-flyweight world-title fight for Estrada's The Ring title. Cortés was 27 years old and with a record of 23-3-2 (10), and Estrada was 32 years old and with a record of 42-3 (28). Cortés lost the fight via 12-round unanimous decision.
On July 17, 2015 Argi Cortés faced off against Joaquin Cruz at age 20. He was coming in with a record of 2-2 (1). Cortés lost the fight via 4-round majority decision.
On July 17, 2014 Argi Cortés faced off against Alan Salazar Blanco at age 19. He was coming in with a record of 2-1 (1). Cortés lost the fight via 3-round disqualification.