Leapai's most noteworthy fight was a bout with Wladimir Klitschko for the WBA (Super), IBF, WBO, IBO and 'The Ring' Heavyweight Championship.
26 апреля 2014 года Алекс провёл бой за титулы WBA (super), WBO, IBF, IBO и The Ring, с украинцем, Владимиром Кличко.