 They repeated this feat the following year, losing on penalties in the cup final following a 2–2 draw with Vllaznia Shkodër, but as Vllaznia also won the league in that same year, this gave Besa the opportunity to participate in the UEFA Cup Winners' Cup in the 1972–73 season.Their first European opponents were Danish side, Fremad Amager, who Besa managed to overcome on away goals following a 1–1 draw away in Copenhagen and a goalless draw at home.In the next round however they were beaten by Scottish side Hibernian, whom they lost to on aggregate 8–2, following a 7–1 away loss and a 1–1 draw at home.