The leading party in New Caledonia's territorial government, Caledonia Together, continues to press for the resignation of a cabinet minister.
Anthony Lecren was last week given a suspended two months' prison sentence for drunk driving.
The Caledonian Union politician, who is responsible for the department of environment and customary affairs, has appealed the decision.
Mr Lecren has not responded to a call last week by the President Philippe Germain for him to resign.
However Les Nouvelles Caledoniennes reports that the pro-independence politician is now in police custody, alleged to have made threats against a former girlfriend.
In a statement, Caledonia Together says if Anthony Lecren does not resign, the Caledonian Union must immediately take the initiative to replace him in the collegial government.