| Mar 31, 2024 | Mitrabha | ½–½ | Melkumyan | Round 9: Mitrabha, Guha - Melkumyan, Hrant | English Opening: King's English Variation, Kramnik-Shirov Counterattack | |
| Mar 31, 2024 | Melkumyan | 1–0 | Litchfield | Round 8: Melkumyan, Hrant - Litchfield, Frederick | English Opening | |
| Mar 30, 2024 | Morris | ½–½ | Melkumyan | Round 7: Morris, James - Melkumyan, Hrant | Italian Game: Two Knights Defense, Modern Bishop's Opening | |
| Mar 30, 2024 | Melkumyan | 1–0 | Radovanovic | Round 6: Melkumyan, Hrant - Radovanovic, Mihajlo | Pirc Defense | |
| Mar 29, 2024 | Melkumyan | 1–0 | Sardana | Round 5: Melkumyan, Hrant - Sardana, Rishi | Queen's Gambit Declined: Barmen Variation | |
| Mar 29, 2024 | Chen | 0–1 | Melkumyan | Round 4: Chen, Peng - Melkumyan, Hrant | Caro-Kann Defense: Panov Attack, Main Line | |
| Mar 29, 2024 | Venkatesh | 0–1 | Melkumyan | Round 3: Venkatesh, M.R. - Melkumyan, Hrant | ? | |
| Mar 28, 2024 | Melkumyan | 1–0 | Press | Round 2: Melkumyan, Hrant - Press, Harry | Nimzo-Indian Defense: Normal Variation, Classical Defense | |
| Mar 28, 2024 | Nissinen | 0–1 | Melkumyan | Round 1: Nissinen, Niilo Man - Melkumyan, Hrant | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack | |
| Nov 19, 2023 | Melkumyan | 0–1 | Kourkoulos-Arditis | European Team Championship | King's Indian Defense: Semi-Averbakh System | |
| Nov 18, 2023 | Melkumyan | 1–0 | Gledura | European Team Championship | Slav Defense: Quiet Variation, Schallopp Defense | |
| Nov 15, 2023 | Melkumyan | 0–1 | Bluebaum | European Team Championship | English Opening: King's English Variation | |
| Nov 14, 2023 | Kobo | 0–1 | Melkumyan | European Team Championship | Ruy Lopez: Berlin Defense, Rio Gambit Accepted | |
| Nov 13, 2023 | Melkumyan | ½–½ | Ragger | European Team Championship | English Opening: Anglo-Indian Defense, Anglo-Grünfeld Variation | |
| Nov 12, 2023 | Melkumyan | 1–0 | Martinovic | European Team Championship | Queen's Pawn Game: Accelerated London System | |
| Nov 5, 2023 | Krasenkow | 1–0 | Melkumyan | FIDE Grand Swiss 2023 | Queen's Gambit Declined: Harrwitz Attack, Fianchetto Defense | |
| Nov 4, 2023 | Melkumyan | ½–½ | Huschenbeth | FIDE Grand Swiss 2023 | Tarrasch Defense: Dubov Tarrasch | |
| Nov 3, 2023 | Harikrishna | 1–0 | Melkumyan | FIDE Grand Swiss 2023 | Ruy Lopez: Berlin Defense, Rio Gambit Accepted | |
| Nov 2, 2023 | Melkumyan | ½–½ | Kuybokarov | FIDE Grand Swiss 2023 | English Opening: Agincourt Defense, Keres Defense | |
| Nov 1, 2023 | Duda | 1–0 | Melkumyan | FIDE Grand Swiss 2023 | Ruy Lopez: Berlin Defense | |
| Oct 30, 2023 | Vitiugov | ½–½ | Melkumyan | FIDE Grand Swiss 2023 | Ruy Lopez: Berlin Defense | |
| Oct 29, 2023 | Melkumyan | ½–½ | Abdusattorov | FIDE Grand Swiss 2023 | Queen's Gambit Accepted: Furman Variation | |
| Oct 28, 2023 | Melkumyan | ½–½ | Shankland | FIDE Grand Swiss 2023 | English Opening: Agincourt Defense | |
| Oct 27, 2023 | Deac | ½–½ | Melkumyan | FIDE Grand Swiss 2023 | Ruy Lopez: Berlin Defense | |
| Oct 26, 2023 | Melkumyan | ½–½ | Maghsoodloo | FIDE Grand Swiss 2023 | Zukertort Opening | |
| Oct 25, 2023 | Greenfeld | 0–1 | Melkumyan | FIDE Grand Swiss 2023 | King's Indian Defense: Fianchetto Variation, Immediate Fianchetto | |
| Oct 30, 2022 | Sek | 0–1 | Melkumyan | 20th Bangkok Chess Club Open | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack, Fianchetto Variation | |
| Oct 29, 2022 | Melkumyan | ½–½ | Klekowski | 20th Bangkok Chess Club Open | Nimzo-Indian Defense: Normal Variation, Botvinnik System | |
| Oct 29, 2022 | Sek | * | Melkumyan | 20th Bangkok Chess Club Open | ? | |
| Oct 28, 2022 | Cheng | ½–½ | Melkumyan | 20th Bangkok Chess Club Open | Catalan Opening: Open Defense | |
| Oct 27, 2022 | Melkumyan | ½–½ | Nasuta | 20th Bangkok Chess Club Open | English Opening: Caro-Kann Defensive System | |
| Oct 26, 2022 | Priasmoro | 0–1 | Melkumyan | 20th Bangkok Chess Club Open | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack, Fianchetto Variation | |
| Oct 25, 2022 | Melkumyan | 1–0 | Lim | 20th Bangkok Chess Club Open | King's Indian Defense: Orthodox Variation, Positional Defense | |
| Oct 24, 2022 | Arfan | ½–½ | Melkumyan | 20th Bangkok Chess Club Open | Sicilian Defense: Accelerated Dragon, Maróczy Bind | |
| Oct 23, 2022 | Melkumyan | 1–0 | Kamalsyah Muhammad | 20th Bangkok Chess Club Open | Indian Defense: Normal Variation | |
| Oct 22, 2022 | Markovitz | 0–1 | Melkumyan | 20th Bangkok Chess Club Open | English Opening: Symmetrical Variation, Three Knights, Fianchetto Variation | |
| Jul 23, 2022 | Melkumyan | 0–1 | Sarana | Rapid-Chess-Championship-Week-22 | Zukertort Opening | |
| Jul 23, 2022 | Melkumyan | 0–1 | Bortnyk | Rapid-Chess-Championship-Week-22 | Philidor Defense: Lion Variation | |
| Jul 23, 2022 | Melkumyan | 0–1 | Raja Rithvik R | Rapid-Chess-Championship-Week-22 | Zukertort Opening | |
| Jul 23, 2022 | Moussard | 1–0 | Melkumyan | Rapid-Chess-Championship-Week-22 | Caro-Kann Defense: Advance Variation, Tal Variation | |
| Jul 23, 2022 | Demchenko | 0–1 | Melkumyan | Rapid-Chess-Championship-Week-22 | Caro-Kann Defense: Advance Variation | |
| Jul 16, 2022 | Melkumyan | 0–1 | Tregubov | Rapid-Chess-Championship-Week-21 | Tarrasch Defense: Symmetrical Variation | |
| Jul 16, 2022 | Melkumyan | 0–1 | Nasuta | Rapid-Chess-Championship-Week-21 | English Opening: Anglo-Indian Defense | |
| Jul 16, 2022 | Matinian | * | Melkumyan | Rapid-Chess-Championship-Week-21 | Caro-Kann Defense: Advance Variation, Short Variation | |
| Jul 16, 2022 | Maghsoodloo | 1–0 | Melkumyan | Rapid-Chess-Championship-Week-21 | Caro-Kann Defense: Maróczy Variation | |
| Jul 9, 2022 | Melkumyan | 0–1 | Aleksey_Sorokin | Rapid-Chess-Championship-Week-20 | English Opening: Anglo-Indian Defense, King's Knight Variation | |
| Jul 9, 2022 | Melkumyan | 1–0 | alexrustemov | Rapid-Chess-Championship-Week-20 | Zukertort Opening | |
| Jul 9, 2022 | Melkumyan | * | Nitzan_Steinberg | Rapid-Chess-Championship-Week-20 | Semi-Slav Defense: Stoltz Variation | |
| Jul 9, 2022 | Melkumyan | 1–0 | Hakobyan | Rapid-Chess-Championship-Week-20 | King's Indian Defense: Fianchetto Variation, Delayed Fianchetto | |
| Jul 9, 2022 | Martinez Alcantara | 0–1 | Melkumyan | Rapid-Chess-Championship-Week-20 | Caro-Kann Defense: Advance Variation, Tal Variation | |
| Jul 9, 2022 | Sychev_Klementy | 1–0 | Melkumyan | Rapid-Chess-Championship-Week-20 | Queen's Gambit Declined: Queen's Knight Variation | |
| Jul 9, 2022 | Demchenko | 0–1 | Melkumyan | Rapid-Chess-Championship-Week-20 | Caro-Kann Defense: Advance Variation | |
| Jul 9, 2022 | rookoco | 0–1 | Melkumyan | Rapid-Chess-Championship-Week-20 | Caro-Kann Defense: Two Knights Attack, Mindeno Variation, Exchange Line | |
| Jul 2, 2022 | Melkumyan | 0–1 | Grischuk | Rapid-Chess-Championship-Week-19 | Zukertort Opening | |
| Jul 2, 2022 | Melkumyan | * | ChristopherYoo | Rapid-Chess-Championship-Week-19 | English Opening: Anglo-Indian Defense, King's Knight Variation | |
| Jul 2, 2022 | Sankalp_Gupta2003 | 1–0 | Melkumyan | Rapid-Chess-Championship-Week-19 | Caro-Kann Defense: Two Knights Attack, Mindeno Variation, Exchange Line | |
| Jun 14, 2022 | Zarubitski | ½–½ | Melkumyan | 13th Karen Asrian Memorial | King's Indian Defense: Normal Variation, Standard Development | |
| Jun 13, 2022 | Melkumyan | 1–0 | Hakobyan | 13th Karen Asrian Memorial | English Opening: Anglo-Indian Defense, Anglo-Grünfeld Variation | |
| Jun 11, 2022 | Melkumyan | 0–1 | Davtyan | 13th Karen Asrian Memorial | Caro-Kann Defense: Panov Attack, Main Line | |
| Jun 10, 2022 | Petrosian | ½–½ | Melkumyan | 13th Karen Asrian Memorial | Ruy Lopez: Berlin Defense, Rio Gambit Accepted | |
| Jun 9, 2022 | Melkumyan | * | Yedigaryan | 13th Karen Asrian Memorial | ? | |
| Jun 7, 2022 | Sukiasyan | ½–½ | Melkumyan | 13th Karen Asrian Memorial | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack, Fianchetto Variation | |
| Jun 4, 2022 | Melkumyan | 1–0 | Kosteniuk | Rapid-Chess-Championship-Week-17 | Queen's Gambit Declined: Ragozin Defense | |
| Jun 4, 2022 | Melkumyan | 0–1 | shyam | Rapid-Chess-Championship-Week-17 | English Opening: King's English Variation | |
| Jun 4, 2022 | Melkumyan | 0–1 | alexrustemov | Rapid-Chess-Championship-Week-17 | English Opening: Agincourt Defense, Catalan Defense Accepted | |
| Jun 4, 2022 | FGHSMN | 1–0 | Melkumyan | Rapid-Chess-Championship-Week-17 | English Opening: King's English Variation, Nimzowitsch-Flohr Variation | |
| Jun 4, 2022 | Kamsky | ½–½ | Melkumyan | Rapid-Chess-Championship-Week-17 | Queen's Pawn Game: Accelerated London System | |
| Apr 5, 2021 | Fernandez | 1–0 | Melkumyan | Doeberl Cup Premier | King's Indian Defense: Normal Variation | |
| Apr 4, 2021 | Melkumyan | 1–0 | Bjelobrk | Doeberl Cup Premier | English Opening: Caro-Kann Defensive System | |
| Apr 4, 2021 | Canfell | 0–1 | Melkumyan | Doeberl Cup Premier | Zukertort Opening: Sicilian Invitation | |
| Apr 3, 2021 | Melkumyan | 0–1 | Cheng | Doeberl Cup Premier | Catalan Opening: Open Defense, Classical Line | |
| Apr 2, 2021 | Puccini | 0–1 | Melkumyan | Doeberl Cup Premier | Sicilian Defense: Hyperaccelerated Fianchetto | |