 The club's B team were the league's runners-up.In November 1965, the team played the Kuwaiti club Al-Qadsia and the match ended in a 3–3 draw.In September 1968, the team traveled to Syria and played with some its teams, and the results were good, and in 1969 the team under the leadership of coach Abdul Salam Saud, played against Bahraini club Al-Nasr and beat them 4–1; they then played against the Soviet club Neftçi and lost 1–0

On January 17, 1970 Al-Mina'a played against Yugoslavian club Sarajevo and lost 3–1, and over a year later on January 29, 1971, they played under the leadership of coach Hadi Hassan Wasfi, with Czechoslovak club Spartak Trnava and won 2–0; Waleed Dawood and Abdul Razzak Ahmed scored.