| 1. Round | 16/09/1970 | Everton FC | - | ÍB Keflavík | 6:2 |  |
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| 1. Round | 30/09/1970 | ÍB Keflavík | - | Everton FC | 0:3 | |
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| Round of 16 | 21/10/1970 | Bor. Mönchengladbach | - | Everton FC | 1:1 | ||||
| Round of 16 | 04/11/1970 | Everton FC | - | Bor. Mönchengladbach | 4:3 pso | ||||
| Quarter-finals | 09/03/1971 | Everton FC | - | Panathinaikos | 1:1 | ||||
| Quarter-finals | 24/03/1971 | Panathinaikos | - | Everton FC | 0:0 |
England