| Jun 20, 2026 | Gretarsson | 1–0 | Olafsson | Green Diamond Invitational 2026 | Queen's Indian Defense: Miles Variation | |
| Jun 20, 2026 | Thorfinnsson | 0–1 | Gretarsson | Green Diamond Invitational 2026 | Ruy Lopez: Morphy Defense, Classical Defense Deferred | |
| Jun 20, 2026 | Gretarsson | ½–½ | Stefansson | Green Diamond Invitational 2026 | Queen's Gambit Declined: Barmen Variation | |
| Jun 20, 2026 | Ulfarsson | 1–0 | Gretarsson | Green Diamond Invitational 2026 | Modern Defense: Standard Defense | |
| Jun 20, 2026 | Stefansson | 1–0 | Gretarsson | Green Diamond Invitational 2026 | Modern Defense: Two Knights Variation | |
| Jun 20, 2026 | Gretarsson | 0–1 | Johannsson | Green Diamond Invitational 2026 | Bogo-Indian Defense: Grünfeld Variation | |
| Jun 20, 2026 | Heimisson | 0–1 | Gretarsson | Green Diamond Invitational 2026 | Italian Game: Evans Gambit, Tartakower Attack | |
| Jun 19, 2026 | Thorfinnsson | 1–0 | Gretarsson | Green Diamond Invitational 2026 | Queen's Pawn Game: Modern Defense | |
| Jun 19, 2026 | Gretarsson | 1–0 | Hjartarson | Green Diamond Invitational 2026 | King's Indian Defense: Orthodox Variation | |
| Mar 8, 2026 | Ragnarsson | ½–½ | Gretarsson | Icelandic team chess championship premier league | Modern Defense | |
| Mar 7, 2026 | Johannsson | ½–½ | Gretarsson | Icelandic team chess championship premier league | Wade Defense | |
| Mar 6, 2026 | Gretarsson | 1–0 | Danielsen | Icelandic team chess championship premier league | King's Indian Defense: Fianchetto Variation, Delayed Fianchetto | |
| Mar 5, 2026 | Gretarsson | 1–0 | Thorhallsson | Icelandic team chess championship premier league | King's Indian Defense | |
| Jan 24, 2026 | Gretarsson | * | Ragnarsson | Le Kock Mótaröðin - Úrslitakvöld | Zukertort Opening | |
| Jan 24, 2026 | Heimisson | * | Gretarsson | Le Kock Mótaröðin - Úrslitakvöld | King's Indian Defense: Fianchetto Variation, Yugoslav Variation, Exchange Line | |
| Jan 24, 2026 | Skarphedinsson | * | Gretarsson | Le Kock Mótaröðin - Úrslitakvöld | Queen's Pawn Game: Modern Defense | |
| Jan 24, 2026 | Gretarsson | * | Bjornsson | Le Kock Mótaröðin - Úrslitakvöld | King's Indian Defense: Normal Variation, King's Knight Variation | |
| Jan 24, 2026 | Stefansson | * | Gretarsson | Le Kock Mótaröðin - Úrslitakvöld | Rat Defense: Accelerated Gurgenidze | |
| Jan 24, 2026 | Gretarsson | * | Jonsson | Le Kock Mótaröðin - Úrslitakvöld | English Opening: Agincourt Defense, Keres Defense | |
| Jan 24, 2026 | Bergsson | 0–1 | Gretarsson | Le Kock Mótaröðin - Úrslitakvöld | Rat Defense: Accelerated Gurgenidze | |
| Jan 24, 2026 | Gretarsson | * | Johannsson | Le Kock Mótaröðin - Úrslitakvöld | Indian Defense: Normal Variation | |
| Jan 24, 2026 | Thorfinnsson | * | Gretarsson | Le Kock Mótaröðin - Úrslitakvöld | Queen's Pawn Game: Modern Defense | |
| Jan 24, 2026 | Gretarsson | 0–1 | Thorfinnsson | Le Kock Mótaröðin - Úrslitakvöld | King's Indian Defense: Fianchetto Variation, Yugoslav Variation, Exchange Line | |
| Jan 24, 2026 | Gretarsson | * | Lagerman | Le Kock Mótaröðin - Úrslitakvöld | ? | |
| Dec 7, 2025 | Hjartarson | 1–0 | Gretarsson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | Modern Defense | |
| Dec 7, 2025 | Thorfinnsson | 1–0 | Gretarsson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | Queen's Pawn Game: Modern Defense | |
| Dec 7, 2025 | Gretarsson | 1–0 | Jonsson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | Zukertort Opening: Nimzo-Larsen Variation | |
| Dec 7, 2025 | Gretarsson | 0–1 | Thorhallsson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | English Opening: Agincourt Defense, Wimpy System | |
| Dec 7, 2025 | Gretarsson | 0–1 | Birkisson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | Queen's Gambit Accepted | |
| Dec 7, 2025 | Thorsteinsson | 0–1 | Gretarsson | Friðriksmót Landsbankans – Íslandsmótið í hraðskák | Queen's Pawn Game: Modern Defense | |
| Nov 15, 2025 | Hjartarson | 1–0 | Gretarsson | Icelandic team chess championship premier league | Italian Game: Two Knights Defense, Modern Bishop's Opening | |
| Dec 30, 2024 | Gretarsson | 0–1 | Tari | FIDE World Blitz Chess Championship 2024 | Zukertort Opening | |
| Dec 30, 2024 | Gretarsson | 1–0 | Wong | FIDE World Blitz Chess Championship 2024 | Queen's Gambit Declined: Harrwitz Attack | |
| Dec 30, 2024 | Gretarsson | 0–1 | Zarnicki | FIDE World Blitz Chess Championship 2024 | King's Indian Defense: Fianchetto Variation, Larsen Defense | |
| Dec 30, 2024 | Gretarsson | ½–½ | Ghaem Maghami | FIDE World Blitz Chess Championship 2024 | Blumenfeld Countergambit | |
| Dec 30, 2024 | Gretarsson | ½–½ | Bezold | FIDE World Blitz Chess Championship 2024 | Modern Defense: Kotov Variation | |
| Dec 30, 2024 | Gretarsson | 1–0 | Andersen | FIDE World Blitz Chess Championship 2024 | Zukertort Opening | |
| Dec 30, 2024 | Pichot | 1–0 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Modern Defense | |
| Dec 30, 2024 | Harsha Bharathakoti | 0–1 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Rat Defense: English Rat | |
| Dec 30, 2024 | Volokitin | 1–0 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Pirc Defense: 150 Attack, Sveshnikov-Jansa Attack | |
| Dec 30, 2024 | Dragnev | 1–0 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Modern Defense | |
| Dec 30, 2024 | Fogo Esquivel | 1–0 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Philidor Defense: Lion Variation | |
| Dec 30, 2024 | Grahn | 0–1 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Queen's Pawn Game: Modern Defense | |
| Dec 30, 2024 | Hakobyan | 1–0 | Gretarsson | FIDE World Blitz Chess Championship 2024 | Queen's Gambit Accepted: Alekhine Defense | |
| Dec 26, 2024 | Gretarsson | 0–1 | Harsha Bharathakoti | FIDE World Rapid Chess Championship 2024 | Indian Defense: Anti-Nimzo-Indian | |
| Dec 26, 2024 | Sadhwani | 1–0 | Gretarsson | FIDE World Rapid Chess Championship 2024 | Rat Defense: Accelerated Gurgenidze | |
| Sep 29, 2024 | Palczert | 1–0 | Gretarsson | SixDays Budapest September GM C | Pirc Defense: Classical Variation, Quiet System, Czech Defense | |
| Sep 28, 2024 | Gretarsson | ½–½ | Aczel | SixDays Budapest September GM C | Queen's Gambit Declined: Exchange Variation | |
| Sep 28, 2024 | Gretarsson | 0–1 | Grover | SixDays Budapest September GM C | Queen's Gambit Declined: Ragozin Defense | |
| Sep 27, 2024 | Gatineau | ½–½ | Gretarsson | SixDays Budapest September GM C | Slav Defense: Exchange Variation | |
| Sep 26, 2024 | Gretarsson | ½–½ | Grebennikov | SixDays Budapest September GM C | Sicilian Defense: Accelerated Dragon, Maróczy Bind | |
| Sep 26, 2024 | Zia | 0–1 | Gretarsson | SixDays Budapest September GM C | Queen's Pawn Game: Modern Defense | |
| Sep 25, 2024 | Gretarsson | ½–½ | Mayank Chakraborty | SixDays Budapest September GM C | King's Indian Defense: Fianchetto Variation, Uhlmann-Szabo System | |
| Sep 25, 2024 | Susilodinata | 0–1 | Gretarsson | SixDays Budapest September GM C | Modern Defense: Standard Defense | |
| Sep 24, 2024 | Gretarsson | 1–0 | Sardana | SixDays Budapest September GM C | Queen's Gambit Declined: Barmen Variation | |
| Sep 22, 2024 | Amdouni | 0–1 | Gretarsson | 45th FIDE Chess Olympiad | Pirc Defense | |
| Sep 21, 2024 | Gretarsson | 0–1 | Kojima | 45th FIDE Chess Olympiad | English Opening: Caro-Kann Defensive System | |
| Sep 20, 2024 | Mc Intosh | 0–1 | Gretarsson | 45th FIDE Chess Olympiad | Philidor Defense: Lion Variation | |
| Sep 18, 2024 | Gretarsson | ½–½ | Postny | 45th FIDE Chess Olympiad | Queen's Gambit Declined: Charousek Variation | |
| Sep 16, 2024 | Lagarde | 1–0 | Gretarsson | 45th FIDE Chess Olympiad | Ruy Lopez: Closed, Martinez Variation | |
| Sep 15, 2024 | Petkov | 0–1 | Gretarsson | 45th FIDE Chess Olympiad | Slav Defense: Geller Gambit | |
| Sep 13, 2024 | Gretarsson | 1–0 | Mendez Ramirez | 45th FIDE Chess Olympiad | English Opening: Symmetrical Variation, Hedgehog Defense | |
| Sep 12, 2024 | Harikrishna | 1–0 | Gretarsson | 45th FIDE Chess Olympiad | Slav Defense: Chebanenko Variation | |
| Sep 11, 2024 | Pedro Manuel Envo Engonga Avomo | 0–1 | Gretarsson | 45th FIDE Chess Olympiad | Alekhine Defense: Krejcik Variation, Krejcik Gambit | |
| Aug 15, 2024 | Moldagali | ½–½ | Gretarsson | Round 9: Moldagali, Beksultan - Gretarsson, Helgi Ass | Four Knights Game: Scotch Variation Accepted | |
| Aug 14, 2024 | Dauner | 0–1 | Gretarsson | Round 8: Dauner, Benedikt - Gretarsson, Helgi Ass | Pirc Defense: Bayonet Attack | |
| Aug 13, 2024 | Gretarsson | 0–1 | Savanovic | Round 7: Gretarsson, Helgi Ass - Savanovic, Aleksandar | Queen's Gambit Declined: Harrwitz Attack | |
| Aug 12, 2024 | Licznerski | ½–½ | Gretarsson | Round 6: Licznerski, Lukasz - Gretarsson, Helgi Ass | Ruy Lopez: Closed | |
| Aug 12, 2024 | Gretarsson | 1–0 | Bertagnolli | Round 5: Gretarsson, Helgi Ass - Bertagnolli, Alexander | Queen's Indian Defense: Kasparov-Petrosian Variation, Main Line | |
| Aug 11, 2024 | Palozza | 0–1 | Gretarsson | Round 4: Palozza, Christian - Gretarsson, Helgi Ass | Queen's Gambit Accepted: Alekhine Defense | |
| Aug 10, 2024 | Gretarsson | ½–½ | Lekic | Round 3: Gretarsson, Helgi Ass - Lekic, Dusan | Semi-Slav Defense: Chigorin Defense | |
| Aug 10, 2024 | Gretarsson | 1–0 | Centamore | Round 1: Gretarsson, Helgi Ass - Centamore, Alberto | Queen's Gambit Declined: Janowski Variation | |
| Aug 10, 2024 | Amirkul | ½–½ | Gretarsson | Round 2: Amirkul, Alimzhan - Gretarsson, Helgi Ass | Philidor Defense: Lion Variation | |
| Jul 7, 2024 | Gretarsson | 0–1 | Haring | gm a | English Opening: Symmetrical Variation, Ultra-Symmetrical Variation | |
| Jul 6, 2024 | Stinka | 0–1 | Gretarsson | gm a | Modern Defense: Averbakh System | |
| Jul 5, 2024 | Gretarsson | ½–½ | Polak | gm a | Slav Defense | |
| Jul 4, 2024 | Kraus | ½–½ | Gretarsson | gm a | Queen's Pawn Game: Modern Defense | |
| Jul 3, 2024 | Kaczmarek | 1–0 | Gretarsson | gm a | Scotch Game: Scotch Gambit, Advance Variation | |
| Jul 2, 2024 | Gretarsson | 0–1 | Colbow | gm a | English Opening: Agincourt Defense | |
| Jul 1, 2024 | Sahidi | 1–0 | Gretarsson | gm a | Modern Defense: Standard Defense | |
| Jun 30, 2024 | Gretarsson | ½–½ | Svanda | gm a | English Opening: Agincourt Defense, Neo-Catalan Declined | |
| Jun 30, 2024 | Stefansson | ½–½ | Gretarsson | gm a | Ruy Lopez: Open Berlin Defense, l'Hermet Variation | |
| Nov 18, 2024 | Gretarsson | 0–1 | Kubicka | Round 10: Gretarsson, Helgi Ass - Kubicka, Anna | Zukertort Opening: Nimzo-Larsen Variation | |
| Nov 17, 2024 | Yeritsyan | 1–0 | Gretarsson | Round 9: Yeritsyan, Hayk - Gretarsson, Helgi Ass | Slav Defense: Quiet Variation | |
| Nov 16, 2024 | Gretarsson | 0–1 | Kollars | Round 8: Gretarsson, Helgi Ass - Kollars, Dmitrij | English Opening: King's English Variation, Kramnik-Shirov Counterattack | |
| Nov 15, 2024 | Gevorgyan | ½–½ | Gretarsson | Round 7: Gevorgyan, David Sh. - Gretarsson, Helgi Ass | Queen's Pawn Game: Modern Defense | |
| Nov 12, 2024 | Gretarsson | ½–½ | Srdanovic | Round 6: Gretarsson, Helgi Ass - Srdanovic, Jovana | English Opening: Caro-Kann Defensive System | |
| Nov 12, 2024 | Sapocinic | 0–1 | Gretarsson | Round 5: Sapocinic, Semion - Gretarsson, Helgi Ass | English Opening: Four Knights System, Nimzowitsch Variation | |
| Nov 11, 2024 | Gretarsson | 0–1 | Fressinet | Round 4: Gretarsson, Helgi Ass - Fressinet, Laurent | King's Indian Defense | |
| Nov 10, 2024 | Mizzi | 0–1 | Gretarsson | Round 3: Mizzi, Jack - Gretarsson, Helgi Ass | Wade Defense | |
| Nov 9, 2024 | Gretarsson | 0–1 | Hovhannisyan | Round 2: Gretarsson, Helgi Ass - Hovhannisyan, Robert | Queen's Gambit Declined: Barmen Variation | |
| Oct 26, 2024 | Dudognon | ½–½ | Gretarsson | Round 9: Dudognon, Thibault - Gretarsson, Helgi Ass | Pirc Defense: 150 Attack, Sveshnikov-Jansa Attack | |
| Oct 25, 2024 | Gretarsson | ½–½ | Ostrovskiy | Round 8: Gretarsson, Helgi Ass - Ostrovskiy, Aleksandr | English Opening: Four Knights System, Nimzowitsch Variation | |
| Oct 24, 2024 | Gretarsson | ½–½ | Campos Moreno | Round 7: Gretarsson, Helgi Ass - Campos Moreno, Javier B. | Queen's Gambit Declined: Barmen Variation | |
| Oct 23, 2024 | Szwed | 0–1 | Gretarsson | Round 6: Szwed, Jacek - Gretarsson, Helgi Ass | Pirc Defense: 150 Attack, Sveshnikov-Jansa Attack | |
| Oct 22, 2024 | Gretarsson | 1–0 | Halvax | Round 5: Gretarsson, Helgi Ass - Halvax, Georg | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| Oct 21, 2024 | Hagner | 0–1 | Gretarsson | Round 4: Hagner, Bennet - Gretarsson, Helgi Ass | Rat Defense: Accelerated Gurgenidze | |
| Oct 20, 2024 | Gretarsson | ½–½ | Grieve | Round 3: Gretarsson, Helgi Ass - Grieve, Harry | Queen's Gambit Declined: Three Knights Variation | |
| Oct 19, 2024 | Larino Nieto | 1–0 | Gretarsson | Round 2: Larino Nieto, David - Gretarsson, Helgi Ass | Bishop's Opening: Vienna Hybrid, Hromádka Variation | |
| Oct 18, 2024 | Gretarsson | ½–½ | Vergara Anton | Round 1: Gretarsson, Helgi Ass - Vergara Anton, Diego | Zukertort Opening | |