Ku qor sii wadida cutubkan - Regedziński wuxuu xubin ka ahaa kooxda Polish-ka afar olympiad oo Chess ah (1928, 1933, 1937, 1939) iyo olympiad-kii 3aad ee aan rasmiga ahayn ee Chess-ka ee Munich 1936. Olombikada 2aad ee Chess-ka ee The Hague 1928, wuxuu dhaliyay 10/13 (+8 <unk>1 = 4) isagoo helay abaalmarinta saddexaad ee natiijada shaqsiyeed ee ugu wanaagsan (looma aqoonsan amar guddiga maalmahaas). Sannadkii 1933, wuxuu ku ciyaaray shaxda saddexaad (+2 <unk>1 =4) Olombikada 5aad ee Chess Olympiad ee Folkestone. Olombikada aan rasmiga ahayn ee Munich 1936, halkaas oo kooxda reer Poland ay ku guuleysatay billad qalin ah, wuxuu ku ciyaaray miiska saddexaad (+9 <unk>2 =7). Sannadkii 1937, wuxuu gaadhay dhibcaha ugu sarreeya abid 11/13 (+10 <unk>1 =2) si uu ugu guuleysto abaalmarinta labaad ee natiijada ugu wanaagsan ee guddiga keydka iyo natiijada saddexaad ee ugu wanaagsan guud ahaan Olombikada 7aad ee Chess ee Stockholm. Sanadkii 1939, wuxuu ku ciyaaray safka afaraad, isagoo ku guuleystay billaddii dahabka ee shaqsiga (+6 <unk>3 = 4) ee Olombikada 8aad ee Chess
waxaa lagu qabtay Buenos Aires.