César Cuenca has four losses against three opponents on his boxing record. For a list of Cuenca's best fights, refer to "Best fights of César Cuenca".
On February 22, 2020 César Cuenca faced off against Ibrahim Guemues at age 39. He was coming in with a record of 48-4 (2). Cuenca lost the fight via 8th-round TKO.
On January 12, 2019 César Cuenca faced off against Jonathan Jose Eniz at age 37. He was coming in with a record of 48-3 (2). Cuenca lost the fight via 10-round unanimous decision.
On April 8, 2016 César Cuenca fought Eduard Troyanovsky in a super-lightweight world-title fight for Troyanovsky's IBF title. Cuenca was 35 years old and with a record of 48-2 (2), and Troyanovsky was 35 years old and with a record of 23-0 (20). Cuenca lost the fight via 7th-round TKO.
On November 4, 2015 César Cuenca met Eduard Troyanovsky in a super-lightweight () world-title defense fight. Cuenca was 34 years old and with a record of 48-1 (2), and Troyanovsky was 35 years old and with a record of 22-0 (19). Cuenca lost the fight via 6th-round TKO and lost the titles.