| 1. Round | 15/09/1970 | Lausanne Sports | - | Vitória Setúbal | 0:2 | ||||
| 2. Round | 21/10/1970 | Vitória Setúbal | - | Hajduk Split | 2:0 | ||||
| 2. Round | 04/11/1970 | Hajduk Split | - | Vitória Setúbal | 2:1 | ||||
| Round of 16 | 09/12/1970 | RSC Anderlecht | - | Vitória Setúbal | 2:1 | ||||
| Round of 16 | 23/12/1970 | Vitória Setúbal | - | RSC Anderlecht | 3:1 aet | ||||
| Quarter-finals | 10/03/1971 | Leeds United | - | Vitória Setúbal | 2:1 | ||||
| Quarter-finals | 24/03/1971 | Vitória Setúbal | - | Leeds United | 1:1 |