Randall is best known for being the first boxer to defeat Julio César Chávez, whose record at the time of their 1994 fight stood at 89 wins and a draw.
In October 1987, Randall was knocked out by Mexican lightweight champion Primo Ramos for the NABF regional belt.
He won all 17 of those fights, and on January 30, 1993, earned another title shot when he knocked out Rosario in the seventh round of a rematch.
[citation needed] Randall won the early rounds, and in the middle of the fight began to build a large lead on the scorecards.
[citation needed] Randall was named WBC light welterweight champion on a split decision.
On September 17, Randall was given a shot at the WBA version of the light welterweight title held by Juan Martin Coggi.
Seven months later, Randall regained the WBA title, beating Coggi by unanimous decision in Buenos Aires, Argentina.
Frankie Randall tested positive for drugs after his fight against Argentine boxer Juan Martin Coggi.