| 1. Round | 13/09/1978 | IK Start | - | Esbjerg fB | 0:0 | ||||
| 1. Round | 27/09/1978 | Esbjerg fB | - | IK Start | 1:0 | ||||
| 2. Round | 18/10/1978 | Kuopion PS | - | Esbjerg fB | 0:2 | ||||
| 2. Round | 31/10/1978 | Esbjerg fB | - | Kuopion PS | 4:1 | ||||
| Round of 16 | 21/11/1978 | Esbjerg fB | - | Hertha BSC | 2:1 |  |
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| Round of 16 | 05/12/1978 | Hertha BSC | - | Esbjerg fB | 4:0 |
Denmark