N.M. Stat. § 44-7A-16
Arbitration process.
(a) An arbitrator may conduct an arbitration in such manner as the arbitrator
considers appropriate for a fair and expeditious disposition of the proceeding. The
authority conferred upon the arbitrator includes the power to hold conferences with the
parties to the arbitration proceeding before the hearing and, among other matters,
determine the admissibility, relevance, materiality and weight of any evidence.
(b) An arbitrator may decide a request for summary disposition of a claim or
particular issue:
(1)
if all interested parties agree; or
(2)
upon request of one party to the arbitration proceeding, if that party gives
notice to all other parties to the proceeding and the other parties have a reasonable
opportunity to respond.
(c) If an arbitrator orders a hearing, the arbitrator shall set a time and place and give
notice of the hearing not less than five days before the hearing begins. Unless a party to
the arbitration proceeding makes an objection to lack or insufficiency of notice not later
than the beginning of the hearing, the party's appearance at the hearing waives the
objection. Upon request of a party to the arbitration proceeding and for good cause
shown, or upon the arbitrator's own initiative, the arbitrator may adjourn the hearing
from time to time as necessary, but may not postpone the hearing to a time later than
that fixed by the agreement to arbitrate for making the award unless the parties to the
arbitration proceeding consent to a later date. The arbitrator may hear and decide the
controversy upon the evidence produced although a party who was duly notified of the
arbitration proceeding did not appear. The court, on request, may direct the arbitrator to
conduct the hearing promptly and render a timely decision.
(d) At a hearing under Subsection (c), a party to the arbitration proceeding has a
right to be heard, to present evidence material to the controversy and to cross-examine
witnesses appearing at the hearing.
(e) If an arbitrator ceases or is unable to act during the arbitration proceeding, a
replacement arbitrator must be appointed in accordance with Section 12 [44-7A-12
NMSA 1978] to continue the proceeding and to resolve the controversy.