[1][2] His father Szmuel (died 10 October 1951) sent Szymon as a child to the Fryderyk Chopin University of Music in Warsaw where he studied under Wilhelm Krysztal.
He was the first violin for Los Solistas de Buenos Aires and also played in the tango orchestra of Osvaldo Pugliese, Carlos Di Sarli, Atilio Stampone, Leopoldo Federico and Miguel Caló.
Bajour began in the Argentine Orquesta Sinfónica Nacional served as first violin for the permanent orchestra of the Teatro Colón.
[3] Between 1983–1992 he was a part of the chamber duo Bajour-Antognazzi, interpreting the complete cycle of the Sonatas by Beethoven for violín and piano.
[4] He was one of a group of prominent Jewish tango musicians, including Julio Jorge Nelson, Carlos Aguirre, Raúl Kaplún and Ismael Spitalnik.