In 1963–64 season club finished on 5th place on the league table. Galić score only 4 goals in the league. On 21 August, he scored goal in first match in the season at home, in a 2–2 draw against Vardar. He scored in a 1–2 home defeat from Željezničar, on 13 October. In April, he scored a goal in derbies against Vojvodina and Hajduk in a 3–1 and 3–0 home victories. Galić scored two goals in preliminary round against Anorthosis Famagusta in a European Cup. He continue to scoring in European cup in a 1–2 away defeat to Jeunesse Esch. He also scored in a 6–2 victory in Belgrade. In quarter-finals they were eliminated by Inter Milan.