Away History
| Spain Tercera Group 11 | 2024/05/12 15:30 | Soller v CE Constancia | W | 0-4 |
| Spain Tercera Group 11 | 2024/05/05 15:30 | CE Constancia v Santanyi | D | 1-1 |
| Spain Tercera Group 11 | 2024/05/01 10:00 | Manacor v CE Constancia | L | 1-0 |
| Spain Tercera Group 11 | 2024/04/27 15:00 | CE Constancia v Alaior | W | 1-0 |
| Spain Tercera Group 11 | 2024/04/21 10:30 | SD Portmany v CE Constancia | L | 2-1 |
| Spain Tercera Group 11 | 2024/04/14 10:00 | CE Constancia v Mallorca B | D | 0-0 |
| Spain Tercera Group 11 | 2024/04/04 17:30 | Poblense v CE Constancia | L | 3-0 |
| Spain Tercera Group 11 | 2024/03/28 10:30 | Ibiza Islas Pitiusas v CE Constancia | D | 3-3 |