Almost fifteen-years-of-age at the time of joining OFK Titograd — considered fairly late to be starting out by professional football standards — his only continual prior involvement with competitive football revolved around outdoor concrete and clay surface futsal tournaments, which he continued to participate in even in parallel to playing with OFK. Due to the popularity of this five-a-side "scaled-down football" in Titograd at the time (known as "mali fudbal" throughout the Balkans), many tournaments of semi-formal character were organized in and around town. Barely a teenager at this point, Savićević played for an informal team that consisted of men from his street and was named Tehnohemija after the entire block of apartment buildings in the neighoubourhood where they lived. More than able to hold his own with and against men much older than him, the youngster quickly marked himself out as a skilled player with great ball control and good overall technical ability. During this time, Savićević often played with and against a neighbourhood friend three years his senior, Željko Gašić, who would go on to become widely recognized as the best futsal player in Montenegro and among the best in SFR Yugoslavia.