| 1er tour | 14.09.1983 | AS Roma | - | IFK Göteborg | 3:0 |  |
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| 1er tour | 28.09.1983 | IFK Göteborg | - | AS Roma | 2:1 | ||||
| tour des 16 | 19.10.1983 | CSKA Sofia | - | AS Roma | 0:1 |  |
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| tour des 16 | 02.11.1983 | AS Roma | - | CSKA Sofia | 1:0 | ||||
| Quarts de finale | 07.03.1984 | AS Roma | - | BFC Dynamo | 3:0 | ||||
| Quarts de finale | 21.03.1984 | BFC Dynamo | - | AS Roma | 2:1 | ||||
| Demi-finales | 11.04.1984 | Dundee United | - | AS Roma | 2:0 | ||||
| Demi-finales | 25.04.1984 | AS Roma | - | Dundee United | 3:0 | ||||
| Finale | 30.05.1984 | Liverpool FC | - | AS Roma | 4:2 tab |
Italie