| 2. Round | 20/06/2020 | KR Reykjavík | - | HK Kópavogur | 0:3 | ||||
| 3. Round | 28/06/2020 | HK Kópavogur | - | Valur Reykjavík | 0:4 | ||||
| 4. Round | 04/07/2020 | Grótta | - | HK Kópavogur | 4:4 |  |
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| 5. Round | 08/07/2020 | ÍA Akranes | - | HK Kópavogur | 2:2 | |
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| 6. Round | 12/07/2020 | HK Kópavogur | - | Víkingur Reykjavík | 0:2 | ||||
| 7. Round | 17/07/2020 | UMF Stjarnan | - | HK Kópavogur | 4:1 | ||||
| 8. Round | 23/07/2020 | HK Kópavogur | - | Breiðablik | 1:0 | ||||
| 9. Round | 27/07/2020 | Fylkir Reykjavík | - | HK Kópavogur | 3:2 | ||||
| 12. Round | 16/08/2020 | HK Kópavogur | - | Fjölnir Reykjavík | 3:1 | ||||
| 16. Round | 13/09/2020 | HK Kópavogur | - | ÍA Akranes | 3:2 | ||||
| 17. Round | 21/09/2020 | Víkingur Reykjavík | - | HK Kópavogur | 1:1 | ||||
| 10. Round | 24/09/2020 | KA Akureyri | - | HK Kópavogur | 1:1 | ||||
| 18. Round | 27/09/2020 | HK Kópavogur | - | UMF Stjarnan | 2:3 | ||||
| 11. Round | 04/10/2020 | HK Kópavogur | - | KR Reykjavík | 1:1 |
Iceland