Here is a list of Falcão's best fights. For a list of Falcão's losses, refer to "Esquiva Falcão Losses".
On February 20, 2021 Esquiva Falcão faced off against Artur Akavov at age 31. He was coming in with a record of 28-0 (20), and Akavov was 35 years old and with a record of 20-3 (9). Falcão stopped Artur Akavov via retirement.
On October 28, 2016 Esquiva Falcão faced off against Josué Obando at age 26. He was coming in with a record of 15-0 (12), and Obando was 26 years old and with a record of 14-11-1 (11). Falcão stopped Josué Obando via retirement.