He won a pair of tune-up fights, then faced contender Oba Carr in February 1999 where Carr beat him on a 10-round unanimous decision.
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On January 29, 1994 Randall fought for the title against champion Julio César Chávez, in the grand opening of the MGM Grand Hotel in Las Vegas.
Frankie Howerd | Randall Franks | Frankie Laine | Frankie Boyle | Frankie Goes to Hollywood | Randall Cunningham | Frankie Knuckles | Frankie J | Holly Randall | Frankie Valli | Tony Randall | Randall Wallace | John Randall | Frankie Sandford | Randall Jarrell | Frankie Muniz | Frankie Edgar | Frankie Cutlass | Frankie and Johnny in the Clair de Lune | Randall Bramblett | Frankie Negrón | Frankie Frisch | Frankie Avalon | Suze Randall | Randall Bailey | Randall | Frankie Sheahan | Frankie Ruiz | Frankie Randall | Frankie Miller |
Soberanes has fought many great fighters like Julio César Chávez, Antonio Margarito, Miguel Ángel González, Cosme Rivera, Danny Perez Ramírez, Jaime Balboa, Andrey Tsurkan, Frankie Randall, Oba Carr, Vince Phillips, and Roger Mayweather.