| Europa Conference League | M. | W | D | L | goals | |||
| at home | 1 | 1 | 0 | 0 | 3 | : | 0 | |
| Away | 1 | 0 | 0 | 1 | 0 | : | 2 | |
| ∑ | 2 | 1 | 0 | 1 | 3 | : | 2 | |
| overall | M. | W | D | L | goals | |||
| at home | 1 | 1 | 0 | 0 | 3 | : | 0 | |
| Away | 1 | 0 | 0 | 1 | 0 | : | 2 | |
| Neutral Place | 0 | 0 | 0 | 0 | 0 | : | 0 | |
| ∑ | 2 | 1 | 0 | 1 | 3 | : | 2 | |
| Europa Conference League | |||||
| 2023/2024 | Group A | Olimpija Ljubljana | - | KÍ Klaksvík | 2:0 (0:0) |
| 2023/2024 | Group A | KÍ Klaksvík | - | Olimpija Ljubljana | 3:0 (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}