La. Code Civ. Proc. art. 1671
Current with operative changes from the 2024 Third Special Legislative Session
A judgment dismissing an action without prejudice shall be rendered upon application of the plaintiff and upon his payment of all costs, if the application is made prior to any appearance of record by the defendant. If the application is made after such appearance, the court may refuse to grant the judgment of dismissal except with prejudice.
La. C.P. § 1671