| Copa Libertadores | Matches | W | D | L |  |
 |
 |
| home | 2 | 2 | - | - | 10 | - | - |
| away | 3 | 1 | 2 | - | 8 | - | - |
| overall | 5 | 3 | 2 | - | 18 | - | - |
| Copa Sudamericana | Matches | W | D | L | |
|
|
| home | 1 | - | 1 | - | 4 | - | - |
| away | 1 | - | - | 1 | 3 | - | - |
| overall | 2 | - | 1 | 1 | 7 | - | - |
| Copa Libertadores | Home | - | Guest | |
|
|
Results |
| 26/05/21 | River Plate | - | Fluminense RJ | 3 | - | - | 1:3 |
| 20/08/21 | Barcelona | - | Fluminense RJ | 3 | - | - | 1:1 |
| 03/05/23 | Fluminense RJ | - | River Plate | 4 | - | - | 5:1 |
| 26/04/24 | Cerro Porteño | - | Fluminense RJ | 2 | - | - | 0:0 |
| 30/05/24 | Fluminense RJ | - | Alianza Lima | 6 | - | - | 3:2 |
| Copa Sudamericana | Home | - | Guest | |
|
|
Results |
| 11/05/18 | Nacional Potosí | - | Fluminense RJ | 3 | - | - | 2:0 |
| 27/04/22 | Fluminense RJ | - | Unión de Santa Fe | 4 | - | - | 0:0 |
Uruguay