| 1er tour | 14.09.1983 | Hamrun Spartans | - | Dundee United | 0:3 | ||||
| 1er tour | 28.09.1983 | Dundee United | - | Hamrun Spartans | 3:0 |  |
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| tour des 16 | 19.10.1983 | Standard Liège | - | Dundee United | 0:0 | ||||
| tour des 16 | 02.11.1983 | Dundee United | - | Standard Liège | 4:0 | |
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| Quarts de finale | 07.03.1984 | Rapid Wien | - | Dundee United | 2:1 | ||||
| Quarts de finale | 21.03.1984 | Dundee United | - | Rapid Wien | 1:0 | ||||
| Demi-finales | 11.04.1984 | Dundee United | - | AS Roma | 2:0 | ||||
| Demi-finales | 25.04.1984 | AS Roma | - | Dundee United | 3:0 |
Écosse