| 1. Round | 28/09/1983 | Dundee United | - | Hamrun Spartans | 3:0 | ||||
| Quarter-finals | 07/03/1984 | Rapid Wien | - | Dundee United | 2:1 | ||||
| Quarter-finals | 21/03/1984 | Dundee United | - | Rapid Wien | 1:0 | ||||
| Semi-finals | 11/04/1984 | Dundee United | - | AS Roma | 2:0 | ||||
| Semi-finals | 25/04/1984 | AS Roma | - | Dundee United | 3:0 |
Scotland