| — | Kjartansson | ½–½ | Amin | Schachbundesliga Runde 7 | Ruy Lopez: Closed, Breyer Defense, Zaitsev Hybrid | |
| — | Dautov | 0–1 | Kjartansson | Schachbundesliga Runde 8 | Queen's Gambit Declined: Traditional Variation | |
| Jun 30, 2026 | Kjartansson | 1–0 | Maltezeanu | Round 6: Kjartansson, Gudmundur - Maltezeanu, Stefan | Slav Defense: Quiet Variation, Schallopp Defense | |
| Jun 30, 2026 | Sumets | ½–½ | Kjartansson | Round 5: Sumets, Andrey - Kjartansson, Gudmundur | Catalan Opening: Open Defense, Classical Line | |
| Jun 29, 2026 | Kjartansson | 1–0 | Shahmammadli | Round 4: Kjartansson, Gudmundur - Shahmammadli, Safkhan | King's Indian Defense: Fianchetto Variation, Yugoslav Variation, Advance Line | |
| Jun 28, 2026 | Pakleza | 1–0 | Kjartansson | Round 3: Pakleza, Zbigniew - Kjartansson, Gudmundur | Réti Opening: Anglo-Slav Variation, Gurevich System | |
| Jun 28, 2026 | Kjartansson | 1–0 | Thibous | Round 2: Kjartansson, Gudmundur - Thibous, Leo | Zukertort Opening: Kingside Fianchetto | |
| Jun 27, 2026 | Minde | 0–1 | Kjartansson | Round 1: Minde, Timothe - Kjartansson, Gudmundur | Scotch Game: Scotch Gambit, Advance Variation | |
| May 9, 2026 | Kjartansson | 0–1 | Stefansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | English Opening: Symmetrical Variation, Full Symmetry Line | |
| May 8, 2026 | Johannsson | 0–1 | Kjartansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Rapport-Jobava System | |
| May 7, 2026 | Stefansson | 1–0 | Kjartansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Ruy Lopez: Closed, Anti-Marshall | |
| May 6, 2026 | Kjartansson | ½–½ | Thorfinnsson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| May 5, 2026 | Heimisson | 1–0 | Kjartansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Ruy Lopez: Closed, Martinez Variation | |
| May 4, 2026 | Kjartansson | 1–0 | Ptacnikova | Landsliðsflokkur Íslandsmótsins í skák 2026 | English Opening: Symmetrical Variation, Four Knights Variation | |
| May 3, 2026 | Birkisson | 0–1 | Kjartansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Queen's Gambit Declined: Three Knights Variation | |
| May 2, 2026 | Kjartansson | 1–0 | Birkisson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Nimzo-Indian Defense: Kmoch Variation | |
| May 1, 2026 | Ragnarsson | ½–½ | Kjartansson | Landsliðsflokkur Íslandsmótsins í skák 2026 | Queen's Gambit Declined: Ragozin Defense | |
| Apr 26, 2026 | Kjartansson | 0–1 | Orlov | Round 15: Kjartansson, Gudmundur - Orlov, Andrey | Old Indian Defense: Two Knights Variation | |
| Apr 25, 2026 | Kjartansson | ½–½ | Schaefer | Round 14: Kjartansson, Gudmundur - Schaefer, Markus | Neo-Grünfeld Defense: Classical Variation, Original Defense | |
| Apr 24, 2026 | Koellner | 1–0 | Kjartansson | BL 2526 Schachfreunde Deizisau - MSA Zugzwang | East Indian Defense | |
| Mar 31, 2026 | Kjartansson | ½–½ | Maurizzi | Reykjavik Open 2026 | King's Indian Defense: Fianchetto Variation, Benjamin Defense | |
| Mar 30, 2026 | Kjartansson | 0–1 | Amar | Reykjavik Open 2026 | Sicilian Defense: Taimanov Variation, Bastrikov Variation, English Attack | |
| Mar 29, 2026 | Stefansson | 0–1 | Kjartansson | Reykjavik Open 2026 | Nimzo-Indian Defense: Sämisch Variation | |
| Mar 28, 2026 | Kjartansson | 1–0 | Pleschke | Reykjavik Open 2026 | Caro-Kann Defense: Advance Variation, Short Variation | |
| Mar 28, 2026 | Brackmann | 0–1 | Kjartansson | Reykjavik Open 2026 | Sicilian Defense: Najdorf Variation | |
| Mar 27, 2026 | Kjartansson | ½–½ | Zhang | Reykjavik Open 2026 | Tarrasch Defense: Two Knights Variation | |
| Mar 26, 2026 | Birkisson | ½–½ | Kjartansson | Reykjavik Open 2026 | Grünfeld Defense | |
| Mar 26, 2026 | Kjartansson | ½–½ | Liu | Reykjavik Open 2026 | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| Mar 25, 2026 | Mariller | 0–1 | Kjartansson | Reykjavik Open 2026 | Caro-Kann Defense: Advance Variation | |
| Mar 8, 2026 | Kjartansson | 0–1 | Pultinevicius | Icelandic team chess championship premier league | Indian Defense: Anti-Nimzo-Indian | |
| Mar 7, 2026 | Gupta | 1–0 | Kjartansson | Icelandic team chess championship premier league | Catalan Opening: Open Defense, Classical Line | |
| Mar 7, 2026 | Kjartansson | ½–½ | Heimisson | Icelandic team chess championship premier league | English Opening: Anglo-Indian Defense, Hedgehog System | |
| Mar 6, 2026 | Chigaev | 1–0 | Kjartansson | Icelandic team chess championship premier league | Petrov's Defense | |
| Mar 5, 2026 | Harvey | 1–0 | Kjartansson | Icelandic team chess championship premier league | Zukertort Opening: Nimzo-Larsen Variation | |
| Mar 1, 2026 | Krejci | 0–1 | Kjartansson | SBL München | Nimzo-Indian Defense: Classical Variation, Noa Variation | |
| Jan 11, 2026 | Stojanovic | ½–½ | Kjartansson | SBL Deggendorf | Sicilian Defense: Moscow Variation, Main Line | |
| Jan 10, 2026 | Kjartansson | 0–1 | Alonso Rosell | SBL Deggendorf | Sicilian Defense: O'Kelly Variation, Venice System | |
| Dec 7, 2025 | Onyshchuk | ½–½ | Kjartansson | BL 2526 Sfr. Wolfhagen - MSA Zugzwang | King's Indian Attack | |
| Dec 6, 2025 | Kjartansson | 0–1 | Amin | BL 2526 MSA Zugzwang - SC Viernheim | Ruy Lopez: Morphy Defense, Modern Steinitz Defense | |
| Dec 4, 2025 | Pakleza | 1–0 | Kjartansson | Icelandic team chess championship premier league | English Opening: Symmetrical Variation, Rubinstein Variation | |
| Nov 16, 2025 | Kjartansson | ½–½ | Kazakouski | Icelandic team chess championship premier league | Catalan Opening: Closed | |
| Nov 15, 2025 | Santos Latasa | 1–0 | Kjartansson | Icelandic team chess championship premier league | Indian Defense: Anti-Nimzo-Indian | |
| Nov 15, 2025 | Kjartansson | 0–1 | Stefansson | Icelandic team chess championship premier league | Nimzo-Indian Defense: Rubinstein System, Taimanov Variation | |
| Nov 14, 2025 | Demchenko | 1–0 | Kjartansson | Icelandic team chess championship premier league | Italian Game: Classical Variation, Giuoco Pianissimo | |
| Oct 24, 2025 | Sahidi | 1–0 | Kjartansson | Round 6: Sahidi, Samir - Kjartansson, Gudmundur | Ruy Lopez: Morphy Defense, Anderssen Variation | |
| Oct 23, 2025 | Kjartansson | ½–½ | Laurusas | Round 5: Kjartansson, Gudmundur - Laurusas, Tomas | English Opening: Caro-Kann Defensive System | |
| Oct 20, 2025 | Cheng | ½–½ | Kjartansson | Round 2: Cheng, Bobby - Kjartansson, Gudmundur | Zukertort Opening | |
| Oct 14, 2025 | Kjartansson | 1–0 | Thybo | Round 9: Kjartansson, Gudmundur - Thybo, Jesper Sondergaard | English Opening: Symmetrical Variation, Rubinstein Variation | |
| Oct 13, 2025 | Gorshtein | ½–½ | Kjartansson | Round 8: Gorshtein, Ido - Kjartansson, Gudmundur | English Opening: Mikenas-Carls Variation | |
| Oct 12, 2025 | Kjartansson | 1–0 | Apol | Round 7: Kjartansson, Gudmundur - Apol, Luitjen Akselsson | King's Indian Defense: Fianchetto Variation, Classical Fianchetto | |
| Oct 10, 2025 | Sklyarov | ½–½ | Kjartansson | Round 6: Sklyarov, Dmitry V. - Kjartansson, Gudmundur | Queen's Pawn Game: London System | |
| Oct 8, 2025 | Makharadze | 0–1 | Kjartansson | Round 4: Makharadze, Jambul - Kjartansson, Gudmundur | Semi-Slav Defense: Meran Variation | |
| Oct 7, 2025 | Kjartansson | ½–½ | Uruci | Round 3: Kjartansson, Gudmundur - Uruci, Endrit | Caro-Kann Defense: Endgame Variation | |
| Oct 6, 2025 | Petrov | 1–0 | Kjartansson | Round 2: Petrov, Martin - Kjartansson, Gudmundur | Italian Game: Giuoco Pianissimo, Normal | |
| Jun 21, 2025 | Skarphedinsson | 0–1 | Kjartansson | Icelandic Open 2025 | Catalan Opening: Closed | |
| Jun 20, 2025 | Kjartansson | ½–½ | Briem | Icelandic Open 2025 | King's Indian Attack | |
| Jun 20, 2025 | Kjartansson | ½–½ | Omarsson | Icelandic Open 2025 | King's Indian Defense: Normal Variation, Standard Development | |
| Jun 19, 2025 | Stefansson | ½–½ | Kjartansson | Icelandic Open 2025 | Queen's Gambit Declined: Vienna Variation, Quiet Variation | |
| Jun 19, 2025 | Stefansson | 1–0 | Kjartansson | Icelandic Open 2025 | Indian Defense: Seirawan Attack | |
| Jun 18, 2025 | Kjartansson | 1–0 | Heimisson | Icelandic Open 2025 | King's Indian Attack | |
| Jun 18, 2025 | Sokolov | ½–½ | Kjartansson | Icelandic Open 2025 | Nimzo-Indian Defense: Normal Variation, Botvinnik System | |
| Jun 17, 2025 | Kjartansson | 1–0 | Birkisson | Icelandic Open 2025 | English Opening: Agincourt Defense | |
| Jun 16, 2025 | Akason | 0–1 | Kjartansson | Icelandic Open 2025 | Torre Attack: Fianchetto Defense | |
| Apr 15, 2025 | Kjartansson | ½–½ | Balje | Reykjavik Open 2025 | Caro-Kann Defense: Endgame Variation | |
| Apr 14, 2025 | Papadiamandis | 1–0 | Kjartansson | Reykjavik Open 2025 | Scotch Game: Tartakower Variation | |
| Apr 13, 2025 | Kjartansson | 1–0 | Garbuz | Reykjavik Open 2025 | Queen's Gambit Declined: Three Knights, Vienna Variation | |
| Apr 13, 2025 | Gupta | 1–0 | Kjartansson | Reykjavik Open 2025 | Indian Defense: Normal Variation | |
| Apr 12, 2025 | Kjartansson | 1–0 | Briem | Reykjavik Open 2025 | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| Apr 11, 2025 | Pipiras | 0–1 | Kjartansson | Reykjavik Open 2025 | Nimzo-Indian Defense: Sämisch Variation, Capablanca Variation | |
| Apr 10, 2025 | Borne | 1–0 | Kjartansson | Reykjavik Open 2025 | King's Indian Attack: Pachman System | |
| Apr 9, 2025 | Kjartansson | 1–0 | Beisteiner | Reykjavik Open 2025 | English Opening: Caro-Kann Defensive System | |
| Sep 22, 2024 | Kjartansson | 1–0 | Barbaria | 45th FIDE Chess Olympiad | English Opening: Caro-Kann Defensive System | |
| Sep 21, 2024 | Kjartansson | 0–1 | Nanjo | 45th FIDE Chess Olympiad | English Opening: Symmetrical Variation, Four Knights Variation | |
| Sep 19, 2024 | Kjartansson | 0–1 | Annaberdiyev | 45th FIDE Chess Olympiad | Ruy Lopez: Classical Variation, Central Variation | |
| Sep 18, 2024 | Kjartansson | ½–½ | Gorshtein | 45th FIDE Chess Olympiad | Bogo-Indian Defense: Retreat Variation | |
| Sep 16, 2024 | Bacrot | 1–0 | Kjartansson | 45th FIDE Chess Olympiad | Ruy Lopez: Berlin Defense, l'Hermet Variation, Berlin Wall Defense | |
| Sep 15, 2024 | Naiditsch | 0–1 | Kjartansson | 45th FIDE Chess Olympiad | English Opening: Anglo-Indian Defense, Slav Formation | |
| Sep 14, 2024 | Kjartansson | 1–0 | Kayonde | 45th FIDE Chess Olympiad | Caro-Kann Defense: Endgame Offer | |
| Sep 13, 2024 | Kjartansson | 1–0 | Camacho Campusano | 45th FIDE Chess Olympiad | Ruy Lopez: Morphy Defense, Modern Steinitz Defense, Siesta Variation | |
| Sep 11, 2024 | Kjartansson | 0–1 | Mompel Ferruz | 45th FIDE Chess Olympiad | King's Indian Attack | |
| Aug 11, 2024 | Kjartansson | 1–0 | Jogstad | ccc24gm | Caro-Kann Defense: Endgame Offer | |
| Aug 11, 2024 | Kistrup | 1–0 | Kjartansson | ccc24gm | Italian Game: Classical Variation, Giuoco Pianissimo | |
| Aug 10, 2024 | Kjartansson | 1–0 | Haubro | ccc24gm | Bogo-Indian Defense: Retreat Variation | |
| Aug 10, 2024 | Hector | ½–½ | Kjartansson | ccc24gm | Sicilian Defense: Najdorf Variation, Main Line | |
| Aug 9, 2024 | Kjartansson | 1–0 | Jacobsen | ccc24gm | English Opening: King's English Variation | |
| Aug 9, 2024 | Nielsen | ½–½ | Kjartansson | ccc24gm | Catalan Opening: Open Defense, Classical Line | |
| Aug 8, 2024 | Kjartansson | ½–½ | Kunin | ccc24gm | Philidor Defense: Lion Variation | |
| Aug 8, 2024 | Hacker | ½–½ | Kjartansson | ccc24gm | Semi-Slav Defense: Normal Variation | |
| Aug 7, 2024 | Vinter-Schou | 0–1 | Kjartansson | ccc24gm | English Opening: Agincourt Defense, Neo-Catalan Declined | |
| Jun 2, 2024 | Kjartansson | 1–0 | Herbrig | Round 9: Kjartansson, Gudmundur - Herbrig, Alexander | King's Indian Attack: Yugoslav Variation | |
| Jun 1, 2024 | Ohler | 0–1 | Kjartansson | Round 8: Ohler, Julius - Kjartansson, Gudmundur | English Opening | |
| May 31, 2024 | Kjartansson | 0–1 | Doluhanova | Round 7: Kjartansson, Gudmundur - Doluhanova, Evgeniya | Semi-Slav Defense: Marshall Gambit, Main Line | |
| May 30, 2024 | Manucharyan | ½–½ | Kjartansson | Round 6: Manucharyan, Andriy - Kjartansson, Gudmundur | Slav Defense: Quiet Variation, Schallopp Defense | |
| May 30, 2024 | Kjartansson | 1–0 | Stijve | Round 5: Kjartansson, Gudmundur - Stijve, Theo | English Opening: King's English Variation, Four Knights Variation, Fianchetto Line | |
| May 29, 2024 | Weller | 0–1 | Kjartansson | Round 4: Weller, Uli - Kjartansson, Gudmundur | Sicilian Defense: Closed | |
| May 28, 2024 | Kjartansson | 0–1 | Fedoseev | Round 3: Kjartansson, Gudmundur - Fedoseev, Vladimir | Queen's Gambit Declined | |
| May 27, 2024 | Kjartansson | 1–0 | Morchiashvili | Round 2: Kjartansson, Gudmundur - Morchiashvili, Bachana | Caro-Kann Defense: Exchange Variation | |
| May 26, 2024 | Oberhofer | 0–1 | Kjartansson | Round 1: Oberhofer, Cedric - Kjartansson, Gudmundur | English Opening: King's English Variation | |
| Mar 21, 2024 | Maze | ½–½ | Kjartansson | Reykjavik Open 2024 | Ruy Lopez: Berlin Defense, Rio Gambit Accepted | |
| Mar 20, 2024 | Adhiban | 0–1 | Kjartansson | Reykjavik Open 2024 | Ruy Lopez: Berlin Defense, l'Hermet Variation, Berlin Wall Defense | |