| — | Bivol | 0–1 | Batsiashvili | WRBC 2022. Rapid Women | Italian Game: Two Knights Defense, Steinitz Variation | |
| — | Bivol | 0–1 | Omonova | WRBC 2022. Blitz Women | Sicilian Defense: Nyezhmetdinov-Rossolimo Attack, Fianchetto Variation | |
| — | Bivol | 0–1 | Munkhzul | WRBC 2022. Blitz Women | Sicilian Defense: Moscow Variation, Main Line | |
| — | Bivol | 1–0 | Schulze | WRBC 2022. Blitz Women | Sicilian Defense: Richter-Rauzer Variation, Vitolins Variation | |
| — | Bivol | 0–1 | Mammadzada | WRBC 2022. Blitz Women | Sicilian Defense: Najdorf Variation, Opocensky Variation | |
| — | Bivol | ½–½ | Tokhirjonova | WRBC 2022. Blitz Women | Center Game: Normal Variation | |
| — | Bivol | 0–1 | Khamdamova | WRBC 2022. Blitz Women | Four Knights Game: Glek System | |
| — | Bivol | ½–½ | Gaponenko | WRBC 2022. Blitz Women | Sicilian Defense: Hyperaccelerated Fianchetto | |
| — | Bivol | 0–1 | Garifullina | WRBC 2022. Blitz Women | Sicilian Defense: Najdorf Variation, Opocensky Variation | |
| — | Bivol | ½–½ | Javakhishvili | European Individual Women Chess Championship 2023 | Sicilian Defense: French Variation | |
| — | Maltsevskaya | 0–1 | Bivol | WRBC 2022. Rapid Women | French Defense: Tarrasch Variation, Open System, Euwe-Keres Line | |
| — | Machlik | 0–1 | Bivol | WRBC 2022. Blitz Women | Queen's Gambit Declined: Exchange Variation | |
| — | Mikhaylova | 0–1 | Bivol | WRBC 2022. Blitz Women | Queen's Gambit Declined: Neo-Orthodox Variation, Main Line | |
| — | Lu | 0–1 | Bivol | WRBC 2022. Blitz Women | French Defense: Winawer Variation | |
| — | Stefanova | ½–½ | Bivol | WRBC 2022. Blitz Women | Queen's Pawn Game: Symmetrical Variation, Pseudo-Catalan | |
| — | Gong | 1–0 | Bivol | WRBC 2022. Blitz Women | French Defense: Advance Variation, Milner-Barry Gambit, Hector Variation | |
| — | Nurgaliyeva | 0–1 | Bivol | WRBC 2022. Blitz Women | French Defense: Exchange Variation | |
| — | Balabayeva | ½–½ | Bivol | WRBC 2022. Blitz Women | Italian Game: Two Knights Defense, Modern Bishop's Opening | |
| — | Nakhbayeva | 0–1 | Bivol | WRBC 2022. Blitz Women | Queen's Gambit Declined: Exchange Variation, Positional Variation | |
| — | Hajiyeva | 0–1 | Bivol | WRBC 2022. Blitz Women | French Defense: King's Indian Attack | |
| Jun 5, 2026 | Bivol | 1–0 | Danielian | Round 11: Bivol, Alina - Danielian, Elina | Pirc Defense | |
| Jun 4, 2026 | Kobak | ½–½ | Bivol | Round 10: Kobak, Polina - Bivol, Alina | Philidor Defense: Lion Variation | |
| Jun 3, 2026 | Bivol | 1–0 | Radeva | Round 9: Bivol, Alina - Radeva, Viktoria | French Defense: Classical Variation, Burn Variation | |
| Jun 2, 2026 | Pogorelskikh | ½–½ | Bivol | Round 8: Pogorelskikh, Sofia - Bivol, Alina | French Defense: Hecht-Reefschläger Variation | |
| Jun 1, 2026 | Bivol | 0–1 | Ushenina | Round 7: Bivol, Alina - Ushenina, Anna | Sicilian Defense: Modern Variations, Main Line | |
| May 30, 2026 | Zherebtsova | ½–½ | Bivol | Round 6: Zherebtsova, Alexandra - Bivol, Alina | Nimzo-Indian Defense: Kmoch Variation | |
| May 29, 2026 | Bivol | 1–0 | Sieber | Round 5: Bivol, Alina - Sieber, Fiona | Sicilian Defense: Delayed Alapin Variation, with e6 | |
| May 28, 2026 | Charkhalashvili | ½–½ | Bivol | Round 4: Charkhalashvili, Inga - Bivol, Alina | Catalan Opening: Closed | |
| May 27, 2026 | Bivol | 1–0 | Bashylina | Round 3: Bivol, Alina - Bashylina, Luisa | Ruy Lopez: Morphy Defense, Wormald Attack | |
| May 26, 2026 | Tirpan | ½–½ | Bivol | Round 2: Tirpan, Ceren - Bivol, Alina | English Opening: Agincourt Defense | |
| May 25, 2026 | Bivol | 1–0 | Lomaia | Round 1: Bivol, Alina - Lomaia, Diana | Ruy Lopez: Morphy Defense, Tarrasch Variation | |
| Apr 6, 2026 | Bivol | 0–1 | Wagner | Round 9: Bivol, Alina - Wagner, Dinara | ? | |
| Apr 6, 2026 | Shi | 0–1 | Bivol | Round 8: Shi, Kecheng - Bivol, Alina | ? | |
| Apr 5, 2026 | Bivol | ½–½ | Movsesian | Round 7: Bivol, Alina - Movsesian, Sergei | ? | |
| Apr 5, 2026 | Kadric | 1–0 | Bivol | Round 6: Kadric, Denis - Bivol, Alina | ? | |
| Apr 4, 2026 | Bivol | 1–0 | Marie | Round 5: Bivol, Alina - Marie, Maxime | ? | |
| Apr 4, 2026 | Meier | ½–½ | Bivol | Round 4: Meier, Georg - Bivol, Alina | ? | |
| Apr 3, 2026 | Bivol | 1–0 | Rich | Round 3: Bivol, Alina - Rich, Daniel E | ? | |
| Apr 3, 2026 | Vokhidov | 1–0 | Bivol | Round 2: Vokhidov, Shamsiddin - Bivol, Alina | ? | |
| Dec 30, 2025 | Charvi A | 1–0 | Bivol | World Blitz 2025 Women | Scandinavian Defense: Main Line | |
| Dec 30, 2025 | Bivol | 1–0 | Priyanka Nutakki | World Blitz 2025 Women | French Defense: Classical Variation | |
| Dec 30, 2025 | Gaboyan | ½–½ | Bivol | World Blitz 2025 Women | Zukertort Opening | |
| Dec 30, 2025 | Bivol | 0–1 | Gong | World Blitz 2025 Women | Four Knights Game | |
| Dec 30, 2025 | Charkhalashvili | ½–½ | Bivol | World Blitz 2025 Women | Pseudo Queen's Indian Defense | |
| Dec 29, 2025 | Bivol | 1–0 | Mammadzada | World Blitz 2025 Women | Four Knights Game | |
| Dec 29, 2025 | Lesbekova | ½–½ | Bivol | World Blitz 2025 Women | Scandinavian Defense: Mieses-Kotroc Variation | |
| Dec 29, 2025 | Bivol | ½–½ | Kulon | World Blitz 2025 Women | Four Knights Game | |
| Dec 29, 2025 | Vo | 1–0 | Bivol | World Blitz 2025 Women | Queen's Gambit Declined: Semi-Slav, Abrahams Variation | |
| Dec 29, 2025 | Bivol | 1–0 | Ismayil | World Blitz 2025 Women | Four Knights Game | |
| Dec 29, 2025 | Muzychuk | 1–0 | Bivol | World Blitz 2025 Women | Scandinavian Defense: Main Line | |
| Dec 29, 2025 | Bivol | 0–1 | Divya Deshmukh | World Blitz 2025 Women | Modern Defense: Standard Defense | |
| Dec 29, 2025 | Vaishali | 0–1 | Bivol | World Blitz 2025 Women | Zukertort Opening | |
| Dec 29, 2025 | Bivol | ½–½ | Roebers | World Blitz 2025 Women | Sicilian Defense: Old Sicilian | |
| Dec 28, 2025 | Mikheeva | 0–1 | Bivol | World Blitz 2025 Women | French Defense: Exchange Variation | |
| Dec 28, 2025 | Garifullina | ½–½ | Bivol | WRBC 2025 Rapid Women | Scandinavian Defense: Main Line | |
| Dec 28, 2025 | Bivol | 0–1 | Maltsevskaya | WRBC 2025 Rapid Women | Caro-Kann Defense: Two Knights Attack, Mindeno Variation, Exchange Line | |
| Dec 28, 2025 | Salimova | 0–1 | Bivol | WRBC 2025 Rapid Women | Pseudo Queen's Indian Defense | |
| Dec 27, 2025 | Bivol | ½–½ | Omonova | WRBC 2025 Rapid Women | Four Knights Game | |
| Dec 27, 2025 | Toncheva | 0–1 | Bivol | WRBC 2025 Rapid Women | Semi-Slav Defense: Accelerated Move Order | |
| Dec 27, 2025 | Lesbekova | 0–1 | Bivol | WRBC 2025 Rapid Women | French Defense: Two Knights Variation | |
| Dec 27, 2025 | Bivol | 0–1 | Yip | WRBC 2025 Rapid Women | Modern Defense | |
| Dec 26, 2025 | Atalik | ½–½ | Bivol | WRBC 2025 Rapid Women | Semi-Slav Defense: Main Line | |
| Dec 26, 2025 | Bivol | 1–0 | Luong Phuong Hanh | WRBC 2025 Rapid Women | Sicilian Defense: Delayed Alapin Variation, with e6 | |
| Dec 26, 2025 | Ju | 1–0 | Bivol | WRBC 2025 Rapid Women | Zukertort Opening: Queen's Gambit Invitation | |
| Dec 26, 2025 | Bivol | ½–½ | Assaubayeva | WRBC 2025 Rapid Women | Sicilian Defense: Najdorf Variation, English Attack | |
| Dec 12, 2025 | Bivol | 1–0 | Kholyavko | Round 11: Bivol, Alina - Kholyavko, Mariya | Sicilian Defense: Alapin Variation, Stoltz Attack | |
| Dec 10, 2025 | Nurgaliyeva | ½–½ | Bivol | Round 9: Nurgaliyeva, Zarina - Bivol, Alina | Ruy Lopez: Morphy Defense, Classical Defense Deferred | |
| Dec 9, 2025 | Bivol | 1–0 | Sultanbek | Round 8: Bivol, Alina - Sultanbek, Zeinep | Sicilian Defense: Najdorf Variation, English Attack | |
| Dec 8, 2025 | Kairbekova | 1–0 | Bivol | Round 7: Kairbekova, Amina - Bivol, Alina | French Defense: Winawer Variation, Poisoned Pawn Variation | |
| Dec 7, 2025 | Bivol | ½–½ | Mkrtchyan | Round 6: Bivol, Alina - Mkrtchyan, Mariam | Four Knights Game: Gunsberg Variation | |
| Dec 6, 2025 | Khamdamova | ½–½ | Bivol | Round 5: Khamdamova, Afruza - Bivol, Alina | French Defense: Winawer Variation, Bogoljubow Variation | |
| Dec 5, 2025 | Bivol | 1–0 | Kurmangaliyeva | Round 4: Bivol, Alina - Kurmangaliyeva, Liya | Pirc Defense | |
| Dec 4, 2025 | Serikbay | ½–½ | Bivol | Round 3: Serikbay, Assel - Bivol, Alina | Semi-Slav Defense: Marshall Gambit | |
| Dec 3, 2025 | Bivol | 1–0 | Kaldarova | Round 2: Bivol, Alina - Kaldarova, Ayaulym | Ruy Lopez: Closed, Martinez Variation | |
| Dec 2, 2025 | Munguntuul | 0–1 | Bivol | Round 1: Munguntuul, Batkhuyag - Bivol, Alina | French Defense: Winawer Variation, Alekhine-Maróczy Gambit | |
| Dec 1, 2025 | Lyutsinger | ½–½ | Bivol | Round 10: Lyutsinger, Iren - Bivol, Alina | French Defense: Advance Variation, Paulsen Attack | |
| Oct 25, 2025 | Bivol | 1–0 | Van Amerongen | Round 7: Bivol, Alina - Van Amerongen, Marleen | Scandinavian Defense: Gubinsky-Melts Defense | |
| Oct 24, 2025 | Bivol | ½–½ | Garifullina | Round 6: Bivol, Alina - Garifullina, Leya | Sicilian Defense: Closed | |
| Oct 22, 2025 | Bivol | ½–½ | Batsiashvili | Round 4: Bivol, Alina - Batsiashvili, Nino | Four Knights Game: Gunsberg Variation | |
| Oct 21, 2025 | Sivanandan | 0–1 | Bivol | Round 3: Sivanandan, Bodhana - Bivol, Alina | Scandinavian Defense: Main Line | |
| Oct 20, 2025 | Bivol | 0–1 | Zhu | Round 2: Bivol, Alina - Zhu, Jiner | Sicilian Defense: Najdorf Variation, Opocensky Variation | |
| Oct 18, 2025 | Goryachkina | ½–½ | Bivol | Round 5: Goryachkina, Aleksandra - Bivol, Alina | Scandinavian Defense: Main Line | |
| Sep 28, 2025 | Pogorelskikh | 1–0 | Bivol | Round 11: Pogorelskikh, Sofia - Bivol, Alina | French Defense: Winawer Variation, Retreat Variation, Armenian Line | |
| Sep 27, 2025 | Bivol | ½–½ | Padmini | Round 10: Bivol, Alina - Padmini, Rout | Sicilian Defense: Moscow Variation | |
| Sep 25, 2025 | Unuk | 1–0 | Bivol | Round 8: Unuk, Laura - Bivol, Alina | Bogo-Indian Defense: Grünfeld Variation | |
| Sep 24, 2025 | Bivol | ½–½ | Vega Gutierrez | Round 7: Bivol, Alina - Vega Gutierrez, Sabrina | Sicilian Defense: Closed | |
| Sep 23, 2025 | Zawadzka | 0–1 | Bivol | Round 6: Zawadzka, Jolanta - Bivol, Alina | French Defense: Winawer Variation, Alekhine-Maróczy Gambit | |
| Sep 22, 2025 | Bivol | 1–0 | Cvitan | Round 5: Bivol, Alina - Cvitan, Ena | Caro-Kann Defense: Classical Variation, Spassky Variation | |
| Sep 21, 2025 | Vujatovic | 0–1 | Bivol | Round 4: Vujatovic, Irina - Bivol, Alina | French Defense: Advance Variation, Euwe Variation | |
| Sep 20, 2025 | Bivol | ½–½ | Gaponenko | Round 3: Bivol, Alina - Gaponenko, Inna | Scandinavian Defense: Gubinsky-Melts Defense | |
| Sep 19, 2025 | Toncheva | 0–1 | Bivol | Round 2: Toncheva, Nadya - Bivol, Alina | French Defense: Tarrasch Variation, Chistyakov Defense | |
| Sep 18, 2025 | Bivol | 1–0 | Garifullina | Round 1: Bivol, Alina - Garifullina, Leya | Sicilian Defense: Moscow Variation | |
| Sep 18, 2025 | Bivol | ½–½ | Kirtadze | Round 9: Bivol, Alina - Kirtadze, Anastasia | Caro-Kann Defense: Classical Variation, Spassky Variation | |
| May 31, 2025 | Bivol | ½–½ | Belenkaya | Round 6: Bivol, Alina - Belenkaya, Dina | Caro-Kann Defense: Classical Variation | |
| May 31, 2025 | Bivol | 1–0 | Gadasi | Round 5: Bivol, Alina - Gadasi, Noam | French Defense: Exchange Variation, Monte Carlo Variation | |
| May 30, 2025 | Doluhanova | ½–½ | Bivol | Round 4: Doluhanova, Evgeniya - Bivol, Alina | Zukertort Opening | |
| May 30, 2025 | Bivol | ½–½ | Gaponenko | Round 3: Bivol, Alina - Gaponenko, Inna | Sicilian Defense: Nimzowitsch Variation, Closed Variation | |
| May 29, 2025 | Bivol | 1–0 | Lapushnian | Round 1: Bivol, Alina - Lapushnian, Maya | Sicilian Defense: Smith-Morra Gambit | |
| Aug 5, 2024 | Bivol | 1–0 | Shakhman | WBTC 2024 | Caro-Kann Defense: Karpov Variation | |
| Aug 5, 2024 | Bivol | 1–0 | Kim | WBTC 2024 | Modern Defense: Standard Line | |