| 1. Round | 14/09/1955 | Rot-Weiss Essen | - | Hibernian FC | 0:4 | ||||
| 1. Round | 12/10/1955 | Hibernian FC | - | Rot-Weiss Essen | 1:1 | ||||
| Quarter-finals | 23/11/1955 | Djurgårdens IF | - | Hibernian FC | 1:3 |  |
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| Quarter-finals | 28/11/1955 | Hibernian FC | - | Djurgårdens IF | 1:0 | ||||
| Semi-finals | 04/04/1956 | Stade de Reims | - | Hibernian FC | 2:0 | ||||
| Semi-finals | 18/04/1956 | Hibernian FC | - | Stade de Reims | 0:1 |
Scotland