| 1. Round | 13/09/1978 | Bor. Mönchengladbach | - | Sturm Graz | 5:1 |  |
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| 1. Round | 27/09/1978 | Sturm Graz | - | Bor. Mönchengladbach | 1:2 | ||||
| 2. Round | 18/10/1978 | SL Benfica | - | Bor. Mönchengladbach | 0:0 | ||||
| 2. Round | 30/10/1978 | Bor. Mönchengladbach | - | SL Benfica | 2:0 aet | ||||
| Round of 16 | 21/11/1978 | Bor. Mönchengladbach | - | Śląsk Wrocław | 1:1 | ||||
| Round of 16 | 05/12/1978 | Śląsk Wrocław | - | Bor. Mönchengladbach | 2:4 | |
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| Quarter-finals | 06/03/1979 | Manchester City | - | Bor. Mönchengladbach | 1:1 | ||||
| Semi-finals | 10/04/1979 | MSV Duisburg | - | Bor. Mönchengladbach | 2:2 | ||||
| Final | 09/05/1979 | Crvena Zvezda | - | Bor. Mönchengladbach | 1:1 |
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