 Nyora kupfuurira kweiyi ndima - Mwaka wa196061 wakaratidza mwaka wekutanga weCzechoslovak Cup. Mwaka iwoyo, timu yeDukla yakapedza kaviri pavakakunda Dynamo Žilina mumakwikwi ekupedzisira kuti vawedzere zita ravo rechina religi. Chikwata chacho chakanga chava kuda kukundazve muna 1962, chikakunda mukombe asi chikakundwa neSlovan Bratislava. 1962 rakanga ririwo gore reWorld Cup. Dukla akamiririrwa nevatambi vanomwe muCzechoslovakia nhabvu yenyika, iyo yakasvika kumagumovasati varasikirwa neBrazil. Nyeredzi yeDukla Josef Masopust akahwina mufainari sezvo Brazil yakakunda 31, uye akazotumidzwa semukundi weBallon dOr ya1962. Dukla akapedza mwaka miviri yakatevera achikunda mukombe zvakare, achiita mazita mana akateedzana. Mwaka wa1964-1965 wakabereka mukombe chete pamberi peDukla akapedzisa kaviri kechipiri muna 1965-1966. Mukombe wekupedzisira wekirabhu wegumi remakore wakauya mukombe wa1968-69. Mumwaka mipfumbamwe yokutanga yemakwikwi ekombe, nokudaro, Dukla akanga asvika kumagumo matanhatu uye akakunda mazita mana. 