| Feb 10, 2024 | Hamidreza Tahmasebi | 1–0 | Levon Babujian | Round 9: Hamidreza Tahmasebi - Levon Babujian | King's Indian Attack: Double Fianchetto | |
| Feb 8, 2024 | Vugar Rasulov | 1–0 | Levon Babujian | Round 7: Vugar Rasulov - Levon Babujian | Sicilian Defense: Najdorf Variation | |
| Feb 7, 2024 | Arya Omidi | 0–1 | Levon Babujian | Round 6: Arya Omidi - Levon Babujian | Sicilian Defense: Najdorf Variation, English Attack | |
| Feb 6, 2024 | Levon Babujian | 1–0 | Shahdad Teimouri Yadkuri | Round 5: Levon Babujian - Shahdad Teimouri Yadkuri | Sicilian Defense: Najdorf Variation | |
| Feb 1, 2024 | Seyed Mehrab Khoshkalam | ½–½ | Levon Babujian | Round 9: Seyed Mehrab Khoshkalam - Levon Babujian | King's Indian Attack: Pachman System | |
| Jan 31, 2024 | Levon Babujian | ½–½ | Vugar Rasulov | Round 8: Levon Babujian - Vugar Rasulov | Queen's Gambit Accepted: Central Variation, Alekhine System | |
| Jan 30, 2024 | Levon Babujian | 1–0 | Ali Rastbod | Round 7: Levon Babujian - Ali Rastbod | Queen's Gambit Declined: Queen's Knight Variation | |
| Jan 29, 2024 | Masoud Mosadeghpour | ½–½ | Levon Babujian | Round 6: Masoud Mosadeghpour - Levon Babujian | King's Indian Attack: Double Fianchetto | |
| Jan 16, 2024 | Hampus Sorensen | 0–1 | Levon Babujian | Round 9: Hampus Sorensen - Levon Babujian | Grünfeld Defense: Exchange Variation, Spassky Variation | |
| Jan 15, 2024 | Levon Babujian | ½–½ | Polina Shuvalova | Round 8: Levon Babujian - Polina Shuvalova | Queen's Gambit Declined: Harrwitz Attack, Two Knights Defense, Blockade Line | |
| Jan 14, 2024 | Emin Ohanyan | 1–0 | Levon Babujian | Round 7: Emin Ohanyan - Levon Babujian | Queen's Indian Defense: Anti-Queen's Indian System | |
| Jan 13, 2024 | Levon Babujian | 0–1 | Arsen Davtyan | Round 6: Levon Babujian - Arsen Davtyan | Nimzo-Indian Defense: Normal Variation, Sämisch Deferred | |
| Jan 12, 2024 | Benik Agasarov | 1–0 | Levon Babujian | Round 5: Benik Agasarov - Levon Babujian | Ruy Lopez: Closed, Martinez Variation | |
| Jan 11, 2024 | Levon Babujian | 0–1 | Sergey Ivanov | Round 4: Levon Babujian - Sergey Ivanov | Queen's Gambit Declined: Ragozin Defense | |
| Jan 10, 2024 | David Shahinyan | 1–0 | Levon Babujian | Round 3: David Shahinyan - Levon Babujian | Sicilian Defense: Closed | |
| Jan 9, 2024 | Levon Babujian | ½–½ | Alexey Grebnev | Round 2: Levon Babujian - Alexey Grebnev | Bogo-Indian Defense: Wade-Smyslov Variation | |
| Jan 9, 2024 | Sina Movahed | 1–0 | Levon Babujian | Round 1: Sina Movahed - Levon Babujian | Ruy Lopez: Schliemann Defense | |
| Jun 18, 2023 | Chakraborty Agnivo | 0–1 | Levon Babujian | Round 10: Chakraborty Agnivo - Levon Babujian | Italian Game: Scotch Gambit, Janowski Defense | |
| Jun 17, 2023 | Levon Babujian | 0–1 | Pushkar Dere | Round 9: Levon Babujian - Pushkar Dere | Caro-Kann Defense: Panov Attack, Fianchetto Defense | |
| Jun 16, 2023 | Kushal R Jani | 0–1 | Levon Babujian | Round 8: Kushal R Jani - Levon Babujian | Sicilian Defense: Delayed Alapin Variation, with e6 | |
| Jun 12, 2023 | Levon Babujian | 0–1 | Prathamesh Sherla | Round 1: Levon Babujian - Prathamesh Sherla | French Defense: Winawer Variation, Delayed Exchange Variation | |
