Topalović represented Yugoslavia in the executive of the Labour and Socialist International between May 1923 and January 1929. He shared his seat with the Bulgarian socialist leader Yanko Sakazov until August 1925, then sharing it with Bolesław Drobner of the Independent Socialist Labour Party of Poland until June 1928 and from June 1928 to January 1929 with Joseph Kruk.
He graduated from the University of Belgrade's Law School. During the Second World War, Topalović became a close associate with the Chetnik leader Draža Mihailović. Topalović became the president of the Ba congress assembled by Mihailović.
- Banac, Ivo. The National Question in Yugoslavia: Origins, History, Politics. Ithaca: Cornell University Press, 1984. pp. 198-199.
- IISH, Živko Topalović Papers
- Kowalski, Werner. Geschichte der sozialistischen arbeiter-internationale: 1923 - 19. Berlin: Dt. Verl. d. Wissenschaften, 1985. p. 283
- Pavlowitch, Stevan K. Serbia: The History Behind the Name. London: Hurst & Co, 2001. p. 152
- Pavlowitch, Stevan K. Hitler's New Disorder: The Second World War in Yugoslavia. New York: Columbia University Press, 2008. p. 289