In 1934, he took sixth in Maribor (Vasja Pirc and Lajos Steiner won).
In 1935, he tied for 8-9th in Belgrade (Vasja Pirc and Borislav Kostic won).
In 1938, he tied for 5-7th in Ljubljana (Kostic won).During World War II, Astaloš played for Croatia in a match against Slovakia on first board with Ivan Vladimir Rohacek (1 : 1) in Zagreb in December 1941.
He returned to Hungary in 1942.
Asztalos became Vice President of the Hungarian Chess Union and Secretary of the FIDE Qualification Committee.