§ 39-3-5 NMSA 1978

Writs of error to bring into the supreme court any cause adjudged or determined in any of the district courts, as provided by law, may be issued by the supreme court, or any justice thereof, if application is made within the time provided by law for the taking of appeals. A writ of error shall issue from the supreme court to the district court only in those actions wherein appellate jurisdiction has not been vested by law in the court of appeals.