| Game |
| Result | Moves |
Year | Event/Locale | Opening |
| 1. E Quillien vs L R Fjallheim |
| 1-0 | 33 | 2015 | Reykjavik Open | A20 English |
| 2. L R Fjallheim vs M Murray |
| 0-1 | 64 | 2015 | Reykjavik Open | B00 Uncommon King's Pawn Opening |
| 3. J G Nicholson vs L R Fjallheim |
| 0-1 | 22 | 2015 | Reykjavik Open | C65 Ruy Lopez, Berlin Defense |
| 4. H O Lobersli vs L R Fjallheim |
| 1-0 | 54 | 2015 | Politiken Cup | C64 Ruy Lopez, Classical |
| 5. L R Fjallheim vs A T Jorgensen |
| ½-½ | 26 | 2015 | Politiken Cup | B28 Sicilian, O'Kelly Variation |
| 6. P R Larsen vs L R Fjallheim |
| 1-0 | 40 | 2015 | Politiken Cup | C50 Giuoco Piano |
| 7. L P Meldgaar Johannesen vs L R Fjallheim |
| ½-½ | 78 | 2015 | Politiken Cup | C50 Giuoco Piano |
| 8. L R Fjallheim vs Henrik Holm |
| ½-½ | 33 | 2015 | Politiken Cup | C02 French, Advance |
| 9. L R Fjallheim vs K G Nielsen |
| 1-0 | 49 | 2015 | Politiken Cup | B00 Uncommon King's Pawn Opening |
| 10. C Gottschalck vs L R Fjallheim |
| 1-0 | 52 | 2015 | Politiken Cup | C65 Ruy Lopez, Berlin Defense |
| 11. L R Fjallheim vs D Christophersen |
| 0-1 | 31 | 2015 | Politiken Cup | B07 Pirc |
| 12. R Hojem vs L R Fjallheim |
| 1-0 | 83 | 2015 | Politiken Cup | C53 Giuoco Piano |
| 13. P Murray vs L R Fjallheim |
| 1-0 | 32 | 2017 | Reykjavik Open | E81 King's Indian, Samisch |
| 14. L R Fjallheim vs S Sigurjonsson |
| 0-1 | 29 | 2017 | Reykjavik Open | B06 Robatsch |
| 15. F M Tummasarson vs L R Fjallheim |
| ½-½ | 33 | 2017 | Reykjavik Open | C50 Giuoco Piano |
| 16. L R Fjallheim vs L Baldvinsson |
| 0-1 | 64 | 2017 | Reykjavik Open | B00 Uncommon King's Pawn Opening |
| 17. T Gudmundsson vs L R Fjallheim |
| ½-½ | 66 | 2017 | Reykjavik Open | C70 Ruy Lopez |
| 18. L R Fjallheim vs S Davidsson |
| 1-0 | 29 | 2017 | Reykjavik Open | B23 Sicilian, Closed |
| 19. C Valette vs L R Fjallheim |
 | 0-1 | 19 | 2018 | Reykjavik Open | A48 King's Indian |
| 20. Rogvi Mortensen vs L R Fjallheim |
| 1-0 | 53 | 2018 | Reykjavik Open | E71 King's Indian, Makagonov System (5.h3) |
| 21. L R Fjallheim vs H Thorsteinsdottir |
| 0-1 | 69 | 2018 | Reykjavik Open | B18 Caro-Kann, Classical |
| 22. L R Fjallheim vs B Steinthorsson |
| 1-0 | 41 | 2018 | Reykjavik Open | A00 Uncommon Opening |
| 23. K Sajjadi vs L R Fjallheim |
| 0-1 | 33 | 2018 | Reykjavik Open | E97 King's Indian |
| 24. L R Fjallheim vs V Nebolsina |
| 0-1 | 29 | 2018 | Reykjavik Open | B23 Sicilian, Closed |
| 25. J Kvamme vs L R Fjallheim |
| 1-0 | 47 | 2018 | Reykjavik Open | A48 King's Indian |
Kibitzing
