The following season they would take part in arguably the greatest European Cup final at Hampden Park in Glasgow when they lost 7–3 to Real Madrid.

However, early second half goals from Erwin Stein and Horst Trimhold were followed up by a third from Dieter Stinka to give the Germans the upper hand for the second leg three weeks later.

[6] In the second minute, Wilhelm Huberts' 20-yard effort was no match for Campbell Forsyth in the Kilmarnock goal as he put Eintracht 1–0 up on the night and 4–0 up on aggregate.

[6][7] In the second half, Eintracht started strongly but were unable to find an equaliser before Jackie McGrory's free-kick was headed into the goal by Jim McFadzean in the 52nd minute which reduced the aggregate arrears to one.

[6][7] With nine minutes left, McIlroy's cross was headed home by Jackie McInally to put Kilmarnock 4–1 up on the night and tie the aggregate score at 4–4.

Sneddon played it short to Hamilton and his effort was deflected into the Eintracht goal which put Kilmarnock ahead for the first time in the tie, 5–4 on aggregate.