During his playing career that spanned 21 seasons from 1960 to 1981, Ćurković made over 700 official appearances for three clubs in Yugoslavia and France, winning numerous trophies and reaching the European Cup final on two occasions, with Partizan in 1966 and Saint-Étienne in 1976.
During his lengthy career from 1960 to 1981, which included over 700 official appearances for three clubs in Yugoslavia and France, Ćurković achieved numerous victories and reached the European Cup final twice: once with Partizan in 1966 and again with Saint-Étienne in 1976.