Kammala jumla mai zuwa: Bayan cin nasara a Paris a 1938 da kuma zama na biyu a wani gasa mai karfi a Margate a 1939, Capablanca ya taka leda a Cuba a cikin
8th Chess Olympiad, a Buenos Aires, kuma ya lashe lambar zinare don mafi kyawun wasan kwaikwayon a kan. Duk da yake Capablanca da Alekhine suna wakiltar kasashensu a Buenos Aires, Capablanca ya yi ƙoƙari na ƙarshe don shirya wasan Gasar Cin Kofin Duniya. Alekhine ya ƙi, yana cewa ya zama dole ya kasance a shirye don kare mahaifarsa, Faransa, kamar yadda yakin duniya na biyu ya fara. Capablanca ya sanar a gaba cewa ba zai buga Alekhine ba idan ƙungiyoyin su suka hadu.