In 1962–63 season club won another title. Galić scored 15 goals in 24 league matches. On 3 October, he scored his first goal in European competitions, against CSKA Red Flag. He scored a hat–trick in a 4–3 home victory against Vojvodina, on 23 September, on 28 October in Eternal Derby in a 5–0 record away victory and on 25 November in a 5–1 home victory over Novi Sad. On 9 December, in last match of autumn part of the season, he scored a goal in derby against Hajduk, in a 4–1 home win, and also scored in last match of the season against the same club, in Split, in a 1–1 away draw. Galić scored one more goal, against Dinamo Zagreb, in a 1–1 home draw of first match of second part of the season.