Fulham have played NSÍ Runavík 2 times in competitive football, winning 1, drawing 1 and losing 0, first meeting on 7 Jul 2011 and most recently on 30 Jun 2012. Every meeting is listed below.
| Date | Season | Competition | Venue | Opponent | Score | Scorers | Att |
|---|---|---|---|---|---|---|---|
| 7 Jul 2011 | 2011–12 | Europa League | A | NSÍ Runavík | 0–0 | 1,245 | |
| 30 Jun 2012 | 2011–12 | Europa League | H | NSÍ Runavík | 3–0 | Damien Duff 33, Danny Murphy 61, Andrew Johnson 70 | 14,910 |