 Nyora kupfuurira kweiyi ndima - Pa 1986 World Amateur Boxing Championships, akakunda ndarama yehuremu hwakanyanya, achikunda Alex Garcia anobva kuUnited States mumutambo wokupedzisira. Stevenson akasiya mutambo wetsiva nguva pfupi pashure pemitambo yeOlympic yomuzhizha ya1988, iyo Cuba yakarambawo. 