| Oct 25, 2025 | Babujian | 1–0 | Habash | 12th Beirut International Open Chess Championship | Sicilian Defense: Dragon Variation, Yugoslav Attack, Modern Line | |
| Oct 24, 2025 | Wafa | ½–½ | Babujian | 12th Beirut International Open Chess Championship | Sicilian Defense: Delayed Alapin Variation, with e6 | |
| Oct 23, 2025 | Babujian | 1–0 | Kaloust | 12th Beirut International Open Chess Championship | Queen's Indian Defense: Classical Variation, Polugaevsky Gambit | |
| Oct 23, 2025 | Fawzy | 1–0 | Babujian | 12th Beirut International Open Chess Championship | Sicilian Defense: French Variation, Open | |
| Oct 21, 2025 | Babujian | 1–0 | Djuric | 12th Beirut International Open Chess Championship | Scotch Game | |
| Oct 20, 2025 | Sewar | 0–1 | Babujian | 12th Beirut International Open Chess Championship | Nimzo-Indian Defense: Classical Variation, Noa Variation | |
| Oct 19, 2025 | Babujian | ½–½ | Akl | 12th Beirut International Open Chess Championship | Queen's Indian Defense: Capablanca Variation | |
| Oct 19, 2025 | Attieh | 0–1 | Babujian | 12th Beirut International Open Chess Championship | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack | |
| Oct 18, 2025 | Babujian | 1–0 | Abdulla Musabbeh Alkaabi | 12th Beirut International Open Chess Championship | King's Indian Defense: Normal Variation, Rare Defenses | |
| Jul 26, 2025 | Babujian | 1–0 | Decuigniere | Round 9: Babujian, Levon - Decuigniere, Tom | Caro-Kann Defense: Accelerated Panov Attack, Modern Variation | |
| Jul 25, 2025 | Babujian | 1–0 | Georgakopoulos | Round 8: Babujian, Levon - Georgakopoulos, Nikolaos K. | Queen's Gambit Declined: Harrwitz Attack, Two Knights Defense, Blockade Line | |
| Jul 24, 2025 | Vasquez Toledo | 0–1 | Babujian | Round 7: Vasquez Toledo, Cristian - Babujian, Levon | Sicilian Defense: Taimanov Variation, Bastrikov Variation | |
| Jul 23, 2025 | Babujian | ½–½ | Nevednichy | Round 6: Babujian, Levon - Nevednichy, Vladislav | Queen's Gambit Declined: Barmen Variation | |
| Jul 22, 2025 | Gaikwad | 0–1 | Babujian | Round 5: Gaikwad, Siddhant - Babujian, Levon | Sicilian Defense: Taimanov Variation, Bastrikov Variation, English Attack | |
| Jul 20, 2025 | Papadimitriou | 0–1 | Babujian | Round 3: Papadimitriou, Loukas - Babujian, Levon | Benko Gambit Accepted: Dlugy Variation | |
| Jul 20, 2025 | Babujian | 1–0 | Mylonakis | Round 2: Babujian, Levon - Mylonakis, Ioannis | Queen's Indian Defense: Classical Variation, Polugaevsky Gambit | |
| Jul 19, 2025 | Mytilinis | 0–1 | Babujian | Round 1: Mytilinis, Sokratis - Babujian, Levon | Nimzo-Indian Defense: Normal Variation | |
| Jul 19, 2025 | Babujian | 0–1 | Sochacki | Round 4: Babujian, Levon - Sochacki, Christophe | Caro-Kann Defense: Forgacs Variation | |
| Jan 10, 2025 | Davtyan | 1–0 | Babujian | Round 3: Davtyan, Arsen - Babujian, Levon | Sicilian Defense: Scheveningen Variation, Classical Variation | |
| Jan 9, 2025 | Babujian | 0–1 | Piliposyan | Round 2: Babujian, Levon - Piliposyan, Robert | Nimzo-Indian Defense: Classical Variation, Noa Variation | |
| Jan 16, 2025 | Babujian | 0–1 | Mousavi | Round 9: Babujian, Levon - Mousavi, Seyed Khalil | French Defense: Winawer Variation, Bogoljubow Variation | |
| Jan 15, 2025 | Nozdrachev | ½–½ | Babujian | Round 8: Nozdrachev, Vladislav - Babujian, Levon | Sicilian Defense: Taimanov Variation, Normal Variation | |
| Jan 14, 2025 | Babujian | 0–1 | Nazari | Round 7: Babujian, Levon - Nazari, Arad | Nimzo-Indian Defense: Three Knights Variation | |
| Jan 13, 2025 | Prraneeth Vuppala | 0–1 | Babujian | Round 6: Prraneeth Vuppala - Babujian, Levon | English Opening: King's English Variation, Four Knights Variation, Fianchetto Line | |
| Jan 12, 2025 | Gasparyan | 1–0 | Babujian | Round 5: Gasparyan, Erik R. - Babujian, Levon | Blumenfeld Countergambit Accepted | |
| Jan 11, 2025 | Babujian | 0–1 | Hakobyan | Round 4: Babujian, Levon - Hakobyan, Erik | Bogo-Indian Defense: Retreat Variation | |
| Jan 8, 2025 | Sahakyan | 1–0 | Babujian | Round 1: Sahakyan, Aleks - Babujian, Levon | Dutch Defense: Leningrad Variation, Matulovic Variation | |
| Oct 6, 2024 | Hayrapetyan | ½–½ | Babujian | Round 9: Hayrapetyan, Hovik - Babujian, Levon | Queen's Gambit Declined: Three Knights Variation | |
| Jul 24, 2024 | Babujian | 0–1 | Baghdasaryan | Round 9: Babujian, Levon - Baghdasaryan, Vahe | Rapport-Jobava System | |
| Jul 23, 2024 | Artak Manukyan | 0–1 | Babujian | Round 8: Artak Manukyan - Babujian, Levon | Sicilian Defense: Delayed Alapin Variation | |
| Jul 22, 2024 | Babujian | 0–1 | Ravshanov | Round 7: Babujian, Levon - Ravshanov, Sheralijon | Trompowsky Attack | |
| Jul 21, 2024 | Nigalidze | 1–0 | Babujian | Round 6: Nigalidze, Gaioz - Babujian, Levon | Ruy Lopez: Exchange Variation | |
| Jul 20, 2024 | Babujian | 1–0 | Nemsadze | Round 5: Babujian, Levon - Nemsadze, Daviti | Bogo-Indian Defense: Wade-Smyslov Variation | |
| Jul 19, 2024 | Maghakyan | 0–1 | Babujian | Round 4: Maghakyan, Hayk - Babujian, Levon | Sicilian Defense: Alapin Variation, Barmen Defense | |
| May 1, 2024 | Babujian | 0–1 | Sukiasyan | Round 8: Babujian, Levon - Sukiasyan, Vahe A. | Italian Game: Giuoco Pianissimo, Italian Four Knights Variation | |
| Apr 30, 2024 | Petrosyan | 1–0 | Babujian | Round 7: Petrosyan, Manuel - Babujian, Levon | Sicilian Defense: Taimanov Variation, Bastrikov Variation, English Attack | |
| Apr 29, 2024 | Babujian | 1–0 | Davtyan | Round 6: Babujian, Levon - Davtyan, Artur | Sicilian Defense: Najdorf Variation, English Attack | |
| Apr 28, 2024 | Pogosyan | 0–1 | Babujian | Round 5: Pogosyan, Stefan - Babujian, Levon | Zukertort Opening: Nimzo-Larsen Variation | |
| Apr 26, 2024 | Shahinyan | 1–0 | Babujian | Round 3: Shahinyan, David - Babujian, Levon | Sicilian Defense: Alapin Variation, Barmen Defense | |
| Dec 4, 2024 | Agasarov | ½–½ | Babujian | Round 11: Agasarov, Benik - Babujian, Levon | Bogo-Indian Defense: Vitolins Variation | |
| Dec 3, 2024 | Babujian | 1–0 | Davtyan | Round 10: Babujian, Levon - Davtyan, Arsen | Italian Game: Evans Gambit | |
| Dec 2, 2024 | Gharibyan | 1–0 | Babujian | Round 9: Gharibyan, Mamikon - Babujian, Levon | Sicilian Defense: Chekhover Variation | |
| Dec 1, 2024 | Babujian | ½–½ | Gasparyan | Round 8: Babujian, Levon - Gasparyan, Erik R. | Nimzo-Indian Defense: Classical Variation | |
| Nov 30, 2024 | Piliposyan | ½–½ | Babujian | Round 7: Piliposyan, Robert - Babujian, Levon | Nimzo-Indian Defense: Normal Variation | |
| Nov 29, 2024 | Babujian | ½–½ | Hakobyan | Round 6: Babujian, Levon - Hakobyan, Erik | Grünfeld Defense: Exchange Variation, Modern Exchange Variation | |
| Nov 28, 2024 | Sukiasyan | ½–½ | Babujian | Round 5: Sukiasyan, Vahe A. - Babujian, Levon | Ruy Lopez: Closed, Martinez Variation | |
| Nov 27, 2024 | Babujian | 1–0 | Pogosyan | Round 4: Babujian, Levon - Pogosyan, Stefan | Ruy Lopez: Closed, Chigorin Defense | |
| Nov 26, 2024 | Shahinyan | 1–0 | Babujian | Round 3: Shahinyan, Vladimir - Babujian, Levon | Scotch Game | |
| Nov 25, 2024 | Babujian | 1–0 | Sahakyan | Round 2: Babujian, Levon - Sahakyan, Aleks | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| Nov 24, 2024 | Babujian | 0–1 | Sargsyan | Round 1: Babujian, Levon - Sargsyan, Sargis Vach. | Queen's Gambit Declined: Ragozin Defense | |
| Oct 5, 2024 | Babujian | ½–½ | Zverev | Round 8: Babujian, Levon - Zverev, Lev | Queen's Gambit Declined: Ragozin Defense | |
| Jun 9, 2023 | Mirzoev | 1–0 | Babujian | 2nd Maharashtra Open | Indian Defense: Anti-Nimzo-Indian | |
| Jun 7, 2023 | Aleksandrov | 1–0 | Babujian | Maharashtra Chess Festival | English Opening: King's English Variation | |
| Jun 6, 2023 | Babujian | * | Sengupta | Maharashtra Chess Festival | Bogo-Indian Defense: Wade-Smyslov Variation | |
| Jun 5, 2023 | Szpar | 1–0 | Babujian | Maharashtra Chess Festival | English Opening: Agincourt Defense, Wimpy System | |
| Jun 4, 2023 | Babujian | 1–0 | Zakhartsov | Maharashtra Chess Festival | Sicilian Defense: Najdorf Variation | |
| Jun 4, 2023 | Setumadhav | 0–1 | Babujian | Maharashtra Chess Festival | Nimzo-Indian Defense: Normal Variation | |
| Jun 2, 2023 | Babujian | 1–0 | Arya | Maharashtra Chess Festival | Queen's Gambit Declined: Harrwitz Attack, Two Knights Defense, Blockade Line | |
| Jun 2, 2023 | Sammed Jaykumar | 1–0 | Babujian | Maharashtra Chess Festival | Sicilian Defense: Delayed Alapin Variation | |
| Jun 14, 2022 | Sargsyan | 1–0 | Babujian | 13th Karen Asrian Memorial | Queen's Gambit Declined: Harrwitz Attack, Two Knights Defense, Blockade Line | |
| Jun 13, 2022 | Petrosian | 0–1 | Babujian | 13th Karen Asrian Memorial | Van Geet Opening: Napoleon Attack | |
| Jun 12, 2022 | Babujian | 1–0 | Tabatabaei | 13th Karen Asrian Memorial | Semi-Slav Defense: Marshall Gambit, Main Line | |
| Jun 9, 2022 | Navoyan | * | Babujian | 13th Karen Asrian Memorial | ? | |
| Oct 12, 2021 | Sargsyan | ½–½ | Babujian | ChessMood Open | Sicilian Defense: French Variation | |
| Oct 10, 2021 | Babujian | 0–1 | Praggnanandhaa | ChessMood Open | Nimzo-Indian Defense: Three Knights Variation | |
| Oct 9, 2021 | Pantsulaia | 1–0 | Babujian | ChessMood Open | Tarrasch Defense: Classical Variation, Réti Variation | |
| Oct 8, 2021 | Babujian | ½–½ | Goganov | ChessMood Open | Slav Defense: Exchange Variation | |
| Oct 7, 2021 | Petrosyan | 0–1 | Babujian | ChessMood Open | Sicilian Defense: Taimanov Variation, Bastrikov Variation, English Attack | |
| Oct 6, 2021 | Babujian | ½–½ | Quparadze | ChessMood Open | Sicilian Defense: Kan Variation, Modern Variation | |
| May 25, 2021 | Babujian | 1–0 | Deac | European Hybrid World Cup Qualifier | Nimzo-Indian Defense: Three Knights Variation | |
| May 25, 2021 | Babujian | 1–0 | Deac | European Hybrid World Cup Qualifier | Queen's Gambit Declined: Three Knights, Vienna Variation | |
| May 25, 2021 | Deac | 1–0 | Babujian | European Hybrid World Cup Qualifier | Queen's Indian Defense | |
| May 25, 2021 | Deac | 1–0 | Babujian | European Hybrid World Cup Qualifier | Italian Game: Two Knights Defense, Polerio Defense, Bishop Check Line | |
| May 24, 2021 | Deac | 1–0 | Babujian | European Hybrid World Cup Qualifier | Queen's Indian Defense: Kasparov-Petrosian Variation, Main Line | |
| Feb 28, 2021 | Babujian | ½–½ | Sargsyan | 81st Armenian Championship - Highest League | Queen's Gambit Declined: Three Knights, Vienna Variation | |
| Feb 26, 2021 | Gabuzyan | 0–1 | Babujian | 81st Armenian Championship - Highest League | English Opening: King's English Variation | |
| Feb 25, 2021 | Babujian | 1–0 | Petrosian | 81st Armenian Championship - Highest League | Old Indian Defense: Normal Variation | |
| Feb 24, 2021 | Petrosyan | 1–0 | Babujian | 81st Armenian Championship - Highest League | Grünfeld Defense: Exchange Variation | |
| Feb 23, 2021 | Harutyunian | 1–0 | Babujian | 81st Armenian Championship - Highest League | East Indian Defense | |
| Feb 22, 2021 | Babujian | ½–½ | Pashikian | 81st Armenian Championship - Highest League | Queen's Gambit Declined: Ragozin Defense | |
| Feb 20, 2021 | Andriasian | 1–0 | Babujian | 81st Armenian Championship - Highest League | Sicilian Defense: Kan Variation, Modern Variation | |
| Feb 19, 2021 | Babujian | 0–1 | Ter-Sahakyan | 81st Armenian Championship - Highest League | Sicilian Defense: Najdorf Variation, Amsterdam Variation | |
| Feb 18, 2021 | Gharibyan | 1–0 | Babujian | 81st Armenian Championship - Highest League | Queen's Gambit Declined: Anti-Tartakower Variation | |
| Feb 17, 2021 | Babujian | 0–1 | Martirosyan | 81st Armenian Championship - Highest League | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack | |
| Feb 16, 2021 | Hovhannisyan | 1–0 | Babujian | 81st Armenian Championship - Highest League | Sicilian Defense: Scheveningen Variation, Classical Variation | |
| Feb 5, 2021 | Gharibyan | ½–½ | Babujian | 81st Armenian Championship | 1st League | Queen's Gambit Declined: Anti-Tartakower Variation | |
| Feb 3, 2021 | Babujian | 1–0 | Ohanyan | 81st Armenian Championship | 1st League | Benko Gambit Accepted: Fully Accepted Variation | |
| Feb 2, 2021 | Vardanian | ½–½ | Babujian | 81st Armenian Championship | 1st League | English Opening: King's English Variation, Four Knights Variation, Quiet Line | |
| Feb 1, 2021 | Babujian | 1–0 | Melkonyan | 81st Armenian Championship | 1st League | Caro-Kann Defense: Panov Attack, Modern Defense | |
| Jan 31, 2021 | Harutyunian | 1–0 | Babujian | 81st Armenian Championship | 1st League | East Indian Defense | |
| Jan 30, 2021 | Babujian | 0–1 | Shahinyan | 81st Armenian Championship | 1st League | French Defense: MacCutcheon Variation, Janowski Variation | |
| Jan 27, 2021 | Babujian | 1–0 | Barseghyan | 81st Armenian Championship | 1st League | English Opening: Symmetrical Variation, Fianchetto Variation | |
| Jan 23, 2021 | Danielyan | ½–½ | Babujian | 81st Armenian Championship | 1st League | Sicilian Defense: Kan Variation, Knight Variation | |
| Jan 22, 2021 | Babujian | ½–½ | Hayrapetyan | 81st Armenian Championship | 1st League | Queen's Gambit Declined: Harrwitz Attack, Fianchetto Defense | |
| Jan 17, 2021 | Hayrapetyan | ½–½ | Babujian | 11th Margaryan Memorial | English Opening: Symmetrical Variation | |
| Jan 16, 2021 | Babujian | * | Sargsyan | 11th Margaryan Memorial | Grünfeld Defense: Stockholm Variation | |
| Jan 15, 2021 | Babujian | 1–0 | Barseghyan | 11th Margaryan Memorial | Queen's Gambit Declined: Tartakower Defense, Exchange Variation | |
| Jan 14, 2021 | Lazavik | 0–1 | Babujian | 11th Margaryan Memorial | Grünfeld Defense: Brinckmann Attack, Grünfeld Gambit Accepted | |
| Jan 13, 2021 | Babujian | ½–½ | Makarian | 11th Margaryan Memorial | Queen's Indian Defense: Classical Variation, Polugaevsky Gambit | |
| Jan 12, 2021 | Lobanov | 1–0 | Babujian | 11th Margaryan Memorial | Ruy Lopez: Closed, Martinez Variation | |