As a professional boxer, he accumulated a record of 30 straight wins before losing to Vincenzo Gualtieri by a 12-round unanimous decision in a fight for the vacant IBF middleweight title, his first-ever loss.

[2][3] His name is Portuguese for "dodge\slip", as his amateur boxer father wanted to circumvent the prohibition given for coach instructions during the fight, and guide his son simply by shouting his name.

[6] Falcão's next fight was announced as part of the preliminary card of the Manny Pacquiao and Timothy Bradley rematch event against Publio Pena.

[11] Noriega was replaced by the American Malcolm Terry Jr. and Falcão beat him via TKO in the second round after a second knockdown, the fight was stopped by the referee.

[12] After some time boxing, Esquiva Falcão amassed an undefeated record of 27 wins with 19 KOs, and then faced Russian Artur Akavov, in a fight where he defeated the Russian in the fourth round via RTD, because his opponent likely had a broken nose due to punches landed by Esquiva.