Eventually, Flores Burlón built a record of 27 wins, no losses and two draws, with ten knockouts, before he faced Pedro Cesar Duarte, on March 3, 1978 in San Luis, Argentina.
He beat Marcelo Quiñones on August 12, 1978 at Montevideo to win the South American Middleweight title, which had been vacant since Hugo Corro had defeated Rodrigo Valdéz for the world championship.
Flores Burlón lost the South American title in his first defense, being knocked out in round four by Ruben Pardo on January 12, 1979 in Mar del Plata, Argentina.
Despite being defeated with a second round knockout by Cesar Abel Romero on July 30 of 1983, Flores Burlón was named South American Light Heavyweight champion.
Almost one year later, on November 10, 1984, he recovered the South American Light Heavyweight title, defeating Victor Robledo by a twelve round decision in Buenos Aires.
On May 25, 1986, Flores Burlón conquered his third regional belt when he won the South American Cruiserweight title by knocking Hector Pedro Rohr out in the fourth round, at the Argentine city of Necochea.
Flores Burlón boxed for twelve more years, winning the WBA's Fedelatin (Latin American) and WBC's mundo Hispano (Hispanic world)'s Light Cruiserweight titles.