| Mar 8, 2026 | Kjartansson | 1–0 | Ahlander | Icelandic team chess championship premier league | Indian Defense: Accelerated London System | |
| Mar 7, 2026 | Kjartansson | ½–½ | Johannesson | Icelandic team chess championship premier league | Queen's Pawn Game: Accelerated London System | |
| Mar 7, 2026 | Thorsteinsson | ½–½ | Kjartansson | Icelandic team chess championship premier league | English Opening: Symmetrical Variation, Ultra-Symmetrical Variation | |
| Mar 6, 2026 | Kjartansson | ½–½ | Briem | Icelandic team chess championship premier league | French Defense: Advance Variation, Euwe Variation | |
| Mar 5, 2026 | Petursson | 1–0 | Kjartansson | Icelandic team chess championship premier league | English Opening: Symmetrical Variation, Rubinstein Variation | |
| Dec 4, 2025 | Kjartansson | ½–½ | Omarsson | Icelandic team chess championship premier league | Sicilian Defense: Najdorf Variation, Lipnitsky Attack | |
| Nov 16, 2025 | Danielsen | 1–0 | Kjartansson | Icelandic team chess championship premier league | Queen's Pawn Game: Accelerated London System | |
| Nov 15, 2025 | Kjartansson | ½–½ | Thorfinnsson | Icelandic team chess championship premier league | Sicilian Defense: Delayed Alapin Variation, with e6 | |
| Nov 15, 2025 | Johannsson | 1–0 | Kjartansson | Icelandic team chess championship premier league | Queen's Pawn Game: London System | |
| Nov 14, 2025 | Johannsson | 1–0 | Kjartansson | Icelandic team chess championship premier league | Bogo-Indian Defense: Wade-Smyslov Variation | |
| Oct 2, 2023 | Kilic | 1–0 | Kjartansson | European Chess Club Cup 2023 | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack, Gurgenidze Variation | |
| Mar 19, 2023 | Arngrimsson | 1–0 | Kjartansson | Icelandic Team Championship | London System | |
| Mar 18, 2023 | Kjartansson | 1–0 | Einarsson | Icelandic Team Championship | Trompowsky Attack: Poisoned Pawn Variation | |
| Mar 18, 2023 | Kjartansson | 0–1 | Baldursson | Icelandic Team Championship | Trompowsky Attack: Poisoned Pawn Variation | |
| Oct 15, 2022 | Ornolfsson | 1–0 | Kjartansson | Icelandic Team Championship | Sicilian Defense: Open | |
| Oct 15, 2022 | Halldorsson | 0–1 | Kjartansson | Icelandic Team Championship | Queen's Gambit Accepted: Central Variation, Alekhine System | |
| Oct 14, 2022 | Kjartansson | 0–1 | Birkisson | Icelandic Team Championship | Slav Defense: Exchange Variation | |
| Oct 3, 2022 | Nisipeanu | 1–0 | Kjartansson | 37th European Club Cup | Queen's Gambit Accepted: Janowski-Larsen Variation | |
| Sep 24, 2021 | Kjartansson | * | Willson | 36th European Club Cup | ? | |
| Sep 23, 2021 | Saraci | * | Kjartansson | 36th European Club Cup | ? | |
| Sep 22, 2021 | Kjartansson | ½–½ | Kristensen | 36th European Club Cup | ? | |
| Sep 21, 2021 | Organdziev | * | Kjartansson | 36th European Club Cup | ? | |
| Sep 20, 2021 | Kjartansson | * | Hammes | 36th European Club Cup | ? | |
| Sep 19, 2021 | Mihajlov | * | Kjartansson | 36th European Club Cup | ? | |
| Sep 18, 2021 | Kjartansson | 0–1 | Shirov | 36th European Club Cup | Queen's Indian Defense: Miles Variation | |
| Sep 2, 2021 | Kjartansson | 1–0 | Heidarsson | European Individual Chess Championship 2021 - Reykjavik Open | Bogo-Indian Defense: Exchange Variation | |
| Sep 1, 2021 | Jones | 1–0 | Kjartansson | European Individual Chess Championship 2021 - Reykjavik Open | Philidor Defense: Lion Variation | |
| Aug 31, 2021 | Birkisson | 0–1 | Kjartansson | European Individual Chess Championship 2021 - Reykjavik Open | Queen's Gambit Declined: Exchange Variation | |
| Aug 30, 2021 | Kjartansson | 0–1 | Bosiocic | European Individual Chess Championship 2021 - Reykjavik Open | Queen's Indian Defense: Miles Variation | |
| Aug 29, 2021 | Kjartansson | 1–0 | Domalchuk-Jonasson | European Individual Chess Championship 2021 - Reykjavik Open | Indian Defense: Dzindzi-Indian Defense | |
| Aug 28, 2021 | Banusz | 1–0 | Kjartansson | European Individual Chess Championship 2021 - Reykjavik Open | Catalan Opening: Open Defense, Classical Line | |
| Aug 27, 2021 | Briem | 0–1 | Kjartansson | European Individual Chess Championship 2021 - Reykjavik Open | King's Indian Defense: Orthodox Variation | |
| Aug 26, 2021 | Kjartansson | 0–1 | Sarana | European Individual Chess Championship 2021 - Reykjavik Open | Queen's Pawn Game: Colle System, Traditional Colle | |
| Feb 23, 2020 | Kjartansson | 1–0 | Thorgeirsson | Krageroe Resort Chess 2020 | Queen's Pawn Game: London System | |
| Feb 22, 2020 | Kjartansson | ½–½ | Sjoberg | Krageroe Resort Chess 2020 | Rapport-Jobava System | |
| Feb 22, 2020 | Woithe | 0–1 | Kjartansson | Krageroe Resort Chess 2020 | Sicilian Defense: Taimanov Variation, Bastrikov Variation, English Attack | |
| Feb 21, 2020 | Kjartansson | ½–½ | Lund | Krageroe Resort Chess 2020 | Queen's Pawn Game: Accelerated London System | |
| Feb 21, 2020 | Kvaloy | ½–½ | Kjartansson | Krageroe Resort Chess 2020 | Sicilian Defense: Moscow Variation | |
| Feb 20, 2020 | Kjartansson | 0–1 | Altarbosh | Krageroe Resort Chess 2020 | Semi-Slav Defense: Meran Variation | |
| Feb 19, 2020 | Kjartansson | 1–0 | Pevar | Krageroe Resort Chess 2020 | Benoni Defense: Czech Benoni Defense | |
| Feb 19, 2020 | Moiseenko | 1–0 | Kjartansson | Krageroe Resort Chess 2020 | Indian Defense | |
| — | Kjartansson | 1–0 | Petersson | Icelandic Team Championship | Sicilian Defense: Closed | |
| — | Kjartansson | 0–1 | Prudnikov | Icelandic Team Championship | Sicilian Defense: Closed | |
| — | Kjartansson | 1–0 | Arnarson | Goðinn 20th Anniversary Open | Rapport-Jobava System | |
| — | Kjartansson | 1–0 | Bergsson | Goðinn 20th Anniversary Open | Queen's Pawn Game: Torre Attack, Gossip Variation | |
| — | Kjartansson | ½–½ | Heimisson | Goðinn 20th Anniversary Open | Trompowsky Attack: Classical Defense, Big Center Variation | |
| — | Bjornsson | 1–0 | Kjartansson | Icelandic Team Championship | Philidor Defense: Lion Variation | |
| — | Ingvason | 1–0 | Kjartansson | Icelandic Team Championship | Queen's Gambit Accepted: Janowski-Larsen Variation | |
| — | Stefansson | 0–1 | Kjartansson | Goðinn 20th Anniversary Open | Italian Game: Classical Variation | |
| — | Thorfinnsson | 1–0 | Kjartansson | Goðinn 20th Anniversary Open | Queen's Pawn Game: Symmetrical Variation | |
| — | Ragnarsson | ½–½ | Kjartansson | Goðinn 20th Anniversary Open | English Opening: Symmetrical Variation, Three Knights, Fianchetto Variation | |