| Champions League Qual. | M. | W | D | L | goals | |||
| at home | 1 | 1 | 0 | 0 | 2 | : | 1 | |
| Away | 1 | 0 | 0 | 1 | 0 | : | 2 | |
| ∑ | 2 | 1 | 0 | 1 | 2 | : | 3 | |
| Europa League Qual. | M. | W | D | L | goals | |||
| at home | 1 | 0 | 0 | 1 | 0 | : | 4 | |
| Away | 1 | 0 | 0 | 1 | 0 | : | 2 | |
| ∑ | 2 | 0 | 0 | 2 | 0 | : | 6 | |
| overall | M. | W | D | L | goals | |||
| at home | 2 | 1 | 0 | 1 | 2 | : | 5 | |
| Away | 2 | 0 | 0 | 2 | 0 | : | 4 | |
| Neutral Place | 0 | 0 | 0 | 0 | 0 | : | 0 | |
| ∑ | 4 | 1 | 0 | 3 | 2 | : | 9 | |
| Champions League Qual. | |||||
| 2023/2024 | 3. Round | Molde FK | - | KÍ Klaksvík | 2:0 (1:0, 1:0) aet |
| 2023/2024 | 3. Round | KÍ Klaksvík | - | Molde FK | 2:1 (0:0) |
| Europa League Qual. | |||||
| 2003/2004 | Qualifier | KÍ Klaksvík | - | Molde FK | 0:4 (0:2) |
| 2003/2004 | Qualifier | Molde FK | - | KÍ Klaksvík | 2:0 (2:0) |
|
For games that were decided on penalties the score after 120 minutes will be included in the ranking |
Faroe Islands 
![KÍ Klaksvík [Women]](https://s.hs-data.com/bilder/wappen/mini/2470.gif?fallback=png "KÍ Klaksvík [Women]"){kind=small}
![KÍ Klaksvík [Youth]](https://s.hs-data.com/bilder/wappen/mini/26168.gif?fallback=png "KÍ Klaksvík [Youth]"){kind=small}