| 1. Round | 13/09/1983 | Hamrun Spartans | - | Dundee United | 0:3 | ||||
| 1. Round | 28/09/1983 | Dundee United | - | Hamrun Spartans | 3:0 | ||||
| Round of 16 | 19/10/1983 | Standard Liège | - | Dundee United | 0:0 |  |
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| Round of 16 | 02/11/1983 | Dundee United | - | Standard Liège | 4:0 | ||||
| Quarter-finals | 07/03/1984 | Rapid Wien | - | Dundee United | 2:1 | ||||
| Quarter-finals | 21/03/1984 | Dundee United | - | Rapid Wien | 1:0 | ||||
| Semi-finals | 25/04/1984 | AS Roma | - | Dundee United | 3:0 |
Scotland