Coume was formerly part of the German Empire. In the German Empire, the place was called Kuhmen.
The place is now called Coume and belongs to France.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Kuhmen | German Empire | Bolchen | before the Versailles Treaty |
| Coume | France | Moselle | after the Versailles Treaty |
| Kuhmen | German Empire | Sankt Avold | 1940 |
| Coume | France | Moselle | 1945 |
| Coume | France | Moselle | 1993 |