§ 39-3-29 NMSA 1978

If the judgment on review is against the appellant or plaintiff in error, the supreme court or court of appeals shall either render judgment against him and his sureties on the appeal or supersedeas bond, or remand the cause with directions to the district court to enter judgment against him and his sureties on the bond. Execution may issue on any such judgment against the principal and his sureties, either jointly or severally.