| 1. Runde | 16.09.1998 | RSC Anderlecht | - | Grasshopper Club Zürich | 0:2 | ||||
| 1. Runde | 29.09.1998 | Grasshopper Club Zürich | - | RSC Anderlecht | 0:0 | ||||
| 2. Runde | 20.10.1998 | Grasshopper Club Zürich | - | ACF Fiorentina | 0:2 | ||||
| 2. Runde | 03.11.1998 | ACF Fiorentina | - | Grasshopper Club Zürich | 0:3 Wert. | ||||
| Achtelfinale | 24.11.1998 | Grasshopper Club Zürich | - | Girondins Bordeaux | 3:3 |  |
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| Achtelfinale | 08.12.1998 | Girondins Bordeaux | - | Grasshopper Club Zürich | 0:0 |
Georgien