 Croatia: Split - Singles - Main |
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| 1/16-finals | Dodig M. | Molcan A. | 2:0 (6:2, 6:4) | details | 09.04.2024 |
 USA: Phoenix - Singles - Qualification |
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| Semi-finals | Molcan A. | Ymer E. | 0:1 RET. (3:6, 0:3) | details | 11.03.2024 |
| USA: Indian Wells - Singles - Qualification |
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| Final | Molcan A. | Grenier H. | 0:2 (3:6, 2:6) | details | 05.03.2024 |
| Semi-finals | Paire B. | Molcan A. | 0:2 (65:7, 3:6) | details | 04.03.2024 |
 Chile: Santiago - Singles - Main |
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| 1/16-finals | Molcan A. | Coria F. | 0:2 (1:6, 61:7) | details | 26.02.2024 |
| Chile: Santiago - Singles - Qualification |
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| Final | Molcan A. | Bagnis F. | 2:0 (6:4, 6:4) | details | 25.02.2024 |
| Semi-finals | Molcan A. | Cecchinato M. | 2:0 (6:2, 7:64) | details | 24.02.2024 |
 Brazil: Rio de Janeiro - Singles - Qualification |
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| Semi-finals | Meligeni Alves F. | Molcan A. | 2:0 (6:2, 6:3) | details | 17.02.2024 |
 Argentina: Buenos Aires - Singles - Qualification |
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| Semi-finals | Galan D. E. | Molcan A. | 2:0 (6:3, 7:66) | details | 10.02.2024 |
 World: Davis Cup - World Group - Singles - Qualification |
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| | Kecmanovic M. | Molcan A. | CAN. | details | 03.02.2024 |
| | Lajovic D. | Molcan A. | 1:2 (6:4, 2:6, 0:6) | details | 02.02.2024 |
 Australia: Australian Open - Singles - Qualification |
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| Final | Molcan A. | Nagal S. | 0:2 (4:6, 4:6) | details | 12.01.2024 |
| Semi-finals | Molcan A. | Millman J. | 2:0 (6:4, 6:3) | details | 11.01.2024 |
| Quarter-finals | Molcan A. | Brouwer G. | 2:0 (6:4, 6:4) | details | 10.01.2024 |
| Australia: Canberra - Singles - Main |
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| 1/16-finals | Molcan A. | Yevseyev D. | 0:2 (5:7, 4:6) | details | 02.01.2024 |
 Spain: Valencia - Singles - Main |
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| 1/16-finals | Molleker R. | Molcan A. | 2:0 (6:4, 7:5) | details | 20.11.2023 |
 Finland: Helsinki - Singles - Main |
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| 1/8-finals | Molcan A. | Ruusuvuori E. | 0:2 (2:6, 5:7) | details | 09.11.2023 |
| 1/16-finals | Bellucci M. | Molcan A. | 1:2 (0:6, 6:2, 1:6) | details | 07.11.2023 |
 Italy: Bergamo - Singles - Main |
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| Quarter-finals | Goffin D. | Molcan A. | 2:0 (7:5, 6:2) | details | 03.11.2023 |
| 1/8-finals | Brouwer G. | Molcan A. | 1:2 (6:3, 63:7, 63:7) | details | 01.11.2023 |
| 1/16-finals | Gigante M. | Molcan A. | 0:2 (2:6, 2:6) | details | 30.10.2023 |
| Italy: Olbia - Singles - Main |
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| Semi-finals | Molcan A. | Cobolli F. | 0:2 (4:6, 1:6) | details | 21.10.2023 |
| Quarter-finals | Bellucci M. | Molcan A. | 0:2 (3:6, 2:6) | details | 20.10.2023 |
| 1/8-finals | Copil M. | Molcan A. | 0:2 (2:6, 2:6) | details | 19.10.2023 |
| 1/16-finals | Kuzmanov D. | Molcan A. | 0:1 RET. (65:7) | details | 17.10.2023 |
 Slovakia: Bratislava 2 - Singles - Main |
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| 1/16-finals | Molcan A. | De Loore J. | 1:2 (7:5, 4:6, 3:6) | details | 10.10.2023 |
| Spain: Alicante - Singles - Main |
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| 1/16-finals | Novak D. | Molcan A. | 2:0 (6:1, 6:3) | details | 03.10.2023 |
 France: Orleans - Singles - Main |
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| 1/16-finals | Molcan A. | van Assche L. | 1:2 (6:1, 62:7, 3:6) | details | 25.09.2023 |
| World: Davis Cup - World Group I - Singles - Main |
|---|
| | Tsitsipas S. | Molcan A. | 1:2 (66:7, 6:4, 3:6) | details | 17.09.2023 |
| | Skorilas A. | Molcan A. | 0:2 (1:6, 1:6) | details | 16.09.2023 |
| USA: US Open - Singles - Main |
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| 1/64-finals | Molcan A. | Dimitrov G. | 2:3 (7:69, 7:65, 1:6, 5:7, 69:7) | details | 29.08.2023 |
 Bosnia and Herzegovina: Banja Luka - Singles - Main |
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| 1/8-finals | Molcan A. | Prizmic D. | 0:2 (1:6, 4:6) | details | 10.08.2023 |
| 1/16-finals | Molcan A. | Zekic M. | 2:0 (6:1, 6:2) | details | 08.08.2023 |
 Austria: Kitzbuhel - Singles - Main |
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| Quarter-finals | Molcan A. | Baez S. | 0:2 (4:6, 3:6) | details | 03.08.2023 |
| 1/8-finals | Ofner S. | Molcan A. | 1:2 (6:4, 5:7, 65:7) | details | 02.08.2023 |
| 1/16-finals | van Assche L. | Molcan A. | 0:2 (4:6, 3:6) | details | 31.07.2023 |
 Germany: Hamburg - Singles - Main |
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| 1/16-finals | Zverev A. | Molcan A. | 2:0 (6:0, 6:3) | details | 25.07.2023 |
 Sweden: Bastad - Singles - Main |
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| 1/16-finals | Zverev A. | Molcan A. | 2:1 (6:4, 3:6, 7:5) | details | 18.07.2023 |
| Germany: Braunschweig - Singles - Main |
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| 1/16-finals | Choinski J. | Molcan A. | 2:1 (2:6, 6:3, 7:63) | details | 11.07.2023 |
 United Kingdom: Wimbledon - Singles - Main |
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| 1/64-finals | Ymer M. | Molcan A. | 3:0 (6:3, 6:3, 6:4) | details | 03.07.2023 |
| United Kingdom: Boodles Challenge - Singles - Main |
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| | Molcan A. | Tsitsipas Pe. | 2:0 (6:2, 6:2) | details | 01.07.2023 |
| | Hurkacz H. | Molcan A. | 2:0 (6:4, 6:3) | details | 30.06.2023 |
| | Popyrin A. | Molcan A. | 2:0 (6:4, 7:5) | details | 28.06.2023 |
| United Kingdom: Ilkley - Singles - Main |
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| 1/16-finals | Brouwer G. | Molcan A. | CAN. | details | 20.06.2023 |
| Slovakia: Bratislava - Singles - Main |
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| Semi-finals | Molcan A. | Kuzmanov D. | 0:2 (0:6, 1:6) | details | 17.06.2023 |
| Quarter-finals | Molcan A. | Machac T. | 2:1 (7:65, 3:6, 6:1) | details | 16.06.2023 |
| 1/8-finals | Molcan A. | Coppejans K. | 2:0 (6:4, 7:5) | details | 15.06.2023 |
| 1/16-finals | Molcan A. | Burruchaga R. A. | 2:1 (4:6, 6:2, 6:3) | details | 13.06.2023 |
| France: French Open - Singles - Main |
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| 1/32-finals | Zverev A. | Molcan A. | 3:0 (6:4, 6:2, 6:1) | details | 01.06.2023 |