N.M. Stat. § 44-7A-26
Judgment on award; attorney's fees and litigation
expenses.
(a) Upon granting an order confirming, vacating without directing a rehearing,
modifying or correcting an award, the court shall enter a judgment in conformity
therewith. The judgment may be recorded, docketed and enforced as any other
judgment in a civil action.
(b) A court may allow reasonable costs of the motion and subsequent judicial
proceedings.
(c) On application of a prevailing party to a contested judicial proceeding under
Section 23, 24 or 25 [44-7A-23, 44-7A-24, or 44-7A-25 NMSA 1978], the court may add
reasonable attorney's fees and other reasonable expenses of litigation incurred in a
judicial proceeding after the award is made to a judgment confirming, vacating without
directing a rehearing, modifying or correcting an award.