1. Round | 16/09/1959 | Rangers FC | - | RSC Anderlecht | 5:2 | ||||
1. Round | 23/09/1959 | RSC Anderlecht | - | Rangers FC | 0:2 | ||||
Round of 16 | 11/11/1959 | Rangers FC | - | DŠO Červená hviezda Bratislava | 4:3 | ||||
Round of 16 | 18/11/1959 | DŠO Červená hviezda Bratislava | - | Rangers FC | 1:1 | ||||
Quarter-finals | 09/03/1960 | RC&FC Sparta | - | Rangers FC | 2:3 | ||||
Quarter-finals | 16/03/1960 | Rangers FC | - | RC&FC Sparta | 0:1 | ||||
Quarter-finals | 30/03/1960 | Rangers FC | - | RC&FC Sparta | 3:2 | ||||
Semi-finals | 13/04/1960 | Frankfurter SG Eintracht | - | Rangers FC | 6:1 | ||||
Semi-finals | 05/05/1960 | Rangers FC | - | Frankfurter SG Eintracht | 3:6 |