Their biggest margin of victory was by two goals, which occurred in both the first and third round against Lyon of France and Italian team Roma, respectively.
Watched by a crowd of 50,188 at Anfield, Brugge took a two-goal lead in the first half of the first leg when Raoul Lambert and Julien Cools scored.
Liverpool qualified for the UEFA Cup by finishing as runners-up in the 1974–75 Football League First Division.
[1] For the second round Liverpool were drawn against Spanish team Real Sociedad; they won the first game 3–1 in Spain.
The first leg at Wrocław's home ground the Stadion Oporowska was won 2–1 by Liverpool courtesy of goals from Ray Kennedy and Toshack.
The first leg in East Germany ended in a 0–0 draw, after Liverpool goalkeeper Ray Clemence saved a penalty from Peter Kotte.
The match ended 1–1; Liverpool progressed to their second UEFA Cup final courtesy of their 2–1 aggregate victory.
[5] Club Brugge gained entry to the UEFA Cup by finishing fourth in the 1974–75 Belgian First Division.
The first leg, at Lyon's home ground Stade de Gerland, ended in a 4–3 defeat for Brugge.
They won the second leg at their home stadium, the Olympiastadion, 3–0 to secure their place in the next round courtesy of a 6–4 aggregate victory.
Another 1–0 in the second leg at Roma's home ground, the Stadio Olimpico meant Brugge progressed to the quarter-finals courtesy of a 2–0 aggregate victory.
Brugge lost the second leg 2–1, at Milan's home ground the San Siro, but still qualified for the semi-finals as a result of a 3–2 aggregate victory.
The change made a difference as Case's runs down the right hand side of the pitch unsettled the Belgians.
Hughes rolled the ball to Keegan whose right-footed shot went into the Brugge goal to level the scores at 1–1 and give Liverpool a 4–3 aggregate lead.
[16] Brugge needed to score again to keep the tie alive, and pushed their players forward in search of an equaliser.
Ulrik le Fevre and Roger Van Gool combined to split the Liverpool defence, leaving Lambert with the ball.
Brugge breached the Liverpool defence, but Cools' shot was denied by a diving save from Clemence.
The second-leg draw meant Liverpool won the tie, 4–3 on aggregate, to win their second UEFA Cup after their first victory in 1973.
Liverpool manager Bob Paisley was delighted with players after their performance in the second leg: "The second half was the longest 45 minutes of my life.