| 1. Round | 18/09/1984 | FC Sliven | - | Željezničar Sarajevo | 1:0 | ||||
| 1. Round | 03/10/1984 | Željezničar Sarajevo | - | FC Sliven | 5:1 | ||||
| 2. Round | 24/10/1984 | Željezničar Sarajevo | - | FC Sion | 2:1 | ||||
| 2. Round | 06/11/1984 | FC Sion | - | Željezničar Sarajevo | 1:1 | ||||
| Round of 16 | 27/11/1984 | FC Universitatea Craiova | - | Željezničar Sarajevo | 2:0 | ||||
| Round of 16 | 11/12/1984 | Željezničar Sarajevo | - | FC Universitatea Craiova | 4:0 | ||||
| Quarter-finals | 05/03/1985 | Željezničar Sarajevo | - | Dinamo Minsk | 2:0 | ||||
| Quarter-finals | 19/03/1985 | Dinamo Minsk | - | Željezničar Sarajevo | 1:1 | ||||
| Semi-finals | 09/04/1985 | Videoton SC | - | Željezničar Sarajevo | 3:1 | ||||
| Semi-finals | 23/04/1985 | Željezničar Sarajevo | - | Videoton SC | 2:1 |
Bosnia-Herzegovina