| 1. Runde | 15.09.1998 | FC Zürich | - | Anorthosis Famagusta | 4:0 |  |
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| 1. Runde | 29.09.1998 | Anorthosis Famagusta | - | FC Zürich | 2:3 | ||||
| 2. Runde | 20.10.1998 | Celtic FC | - | FC Zürich | 1:1 | ||||
| 2. Runde | 03.11.1998 | FC Zürich | - | Celtic FC | 4:2 | |
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| Achtelfinale | 24.11.1998 | AS Roma | - | FC Zürich | 1:0 | ||||
| Achtelfinale | 08.12.1998 | FC Zürich | - | AS Roma | 2:2 |
Schweiz