Buuxi weedha soo socota: Regedziński wuxuu xubin ka ahaa kooxda Polish-ka ee afar Olombikada Chess-ka (1928, 1933, 1937, 1939) iyo Olombikada Chess-ka ee aan rasmiga ahayn ee 3aad 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 ciyaaraha Chess-ka ee Stockholm. Sannadkii 1939, wuxuu ku ciyaaray guddiga afaraad, isagoo ku guuleystay billaddii dahabka ee shaqsiga (+6 <unk>3 = 4) ee Olombikada 8aad ee Chess ee Buenos Aires.