In 1922, Paulin Frydman took 2nd place, behind Kazimierz Makarczyk in Warsaw. In 1923, he tied for 2nd-4th, behind Alexander Flamberg. In 1926, he shared 1st with Abram Blass, and took 2nd, behind Dawid Przepiórka, in the 1st Polish Chess Championship. In 1927, he tied for 5th-7th in the 2nd POL-ch in Łódź. The event was won by Akiba Rubinstein. In 1928, he tied for 2nd/3rd with Makarczyk, behind Blass. In 1930, he took 4th in Łódź, won in Sopot, and in Warsaw.[3] Frydman won the Warsaw championship four times (1931, 1932, 1933, and 1936).
He played several matches; lost to Jakub Kolski (+0 –2 =0) at Łódź 1922, lost to Salomon Szapiro (+0 –1 =1) at Warsaw 1922, won against Kolski (+1 –0 =1) at Warsaw 1928, drew with Mieczysław Najdorf (+2 –2 =1) at Warsaw 1930, lost to Izaak Appel (+3 –4 =1) at Łódź 1932, and drew with Rudolf Spielmann (+0 –0 =5) in Warsaw in Spring 1935.[4]
7th Olympiad at Stockholm 1937, third board (+10 –2 =5)
8th Olympiad at Buenos Aires 1939, third board (+11 –2 =4).
In all, he took ten Olympic medals (six for a team – one gold at Hamburg, two silver, three bronze, and four individuals – two silver in 1935 and 1939, two bronze in 1933 and 1937). Frydman led the Polish team (2nd place) at Munich 1936. At these events he won 53, drew 42, and lost 16 games (67%).[5]
In July 1936, he took equal 6th at Bad Poděbrady; (Salo Flohr won), despite having led the tournament after nine games with a score of 8-1. Suffering what Andy Soltis describes as a "nervous breakdown" after a loss to Alexander Alekhine, Frydman scored only 1.5 points in his last eight games.[7][8]
In September 1938, he took 7th at Łódź .[9] In 1939, he shared 2nd, behind Najdorf, in Warsaw.
In September 1939, when World War II broke out, Frydman, like many of the 8th Chess Olympiad participants (Najdorf, Stahlberg, et al.), decided to stay in Argentina permanently.[10]
In September 1939, after the Olympiad, Frydman tied for 5th/6th in Buenos Aires (Circulo, Najdorf and Keres won). He tied for 4th/5th in the Mar del Plata 1941 chess tournament (Gideon Ståhlberg won), took 3rd in Buenos Aires (Bodas de Plata), won in Buenos Aires, and tied for 3rd/4th at Águas de São Pedro/São Paulo 1941 (Erich Eliskases won).[11] In 1942, he had to retire from playing professional chess because of poor health.
