| Saint Étienne beat Lille 2-1 (A) on 25 Aug 1957 |
| Lille beat Marseille 4-3 (A) on 18 Aug 1957 |
| Marseille beat Metz 2-1 (A) on 8 Sep 1957 |
| Metz beat Sedan Torcy 3-2 (H) on 20 Oct 1957 |
| Sedan Torcy beat Nîmes 3-1 (H) on 8 Sep 1957 |
| Nîmes beat Angers 5-1 (H) on 22 Sep 1957 |
| Angers beat Monaco 3-2 (H) on 15 Sep 1957 |
| Monaco beat Reims 3-0 (H) on 8 Sep 1957 |
| Reims beat Lens 1-0 (A) on 13 Oct 1957 |
| Lens beat Nice 1-0 (H) on 18 Sep 1957 |
| Nice beat Béziers 6-1 (H) on 20 Oct 1957 |
| Béziers beat Olympique Alès 3-2 (H) on 1 Nov 1957 |
| Olympique Alès beat Toulouse 3-2 (A) on 25 Aug 1957 |
| Toulouse beat Olympique Lyonnais 3-1 (H) on 29 Sep 1957 |
| Olympique Lyonnais beat Racing 2-0 (H) on 22 Sep 1957 |
| Racing beat Sochaux 6-4 (H) on 18 Aug 1957 |
| Sochaux beat Valenciennes Anzin 1-0 (H) on 15 Sep 1957 |
FLP: Thick arrows show the earliest chain of wins that passes through every team.