N.M. Admin. Code § 22.600.3.20
Any request for issuance of subpoenas in matters before the administrative hearings office shall be guided by Rule 45 of the rules of civil procedure for the district courts of New Mexico, except where provisions of that rule conflict with the limited powers of the administrative hearings office. Any subpoena issued shall be in the name of the chief hearing officer of the administrative hearings office. The party requesting the subpoena shall prepare a proposed subpoena using a form approved by the administrative hearings office, submit the proposed subpoena to the administrative hearings office for approval and to the opposing party, and to timely and reasonably serve the subpoena on the person or entity subject to the subpoena. Unless good cause is shown for a shorter period, a subpoena shall provide at least 10 day notice before compelled attendance at a hearing or deposition, and at least 10 day notice before compelled production of materials. All returns or certificates of service on served subpoenas shall be filed with the administrative hearings office, copied to the opposing party, and shall be made part of the record of the proceeding.
N.M. Admin. Code § 22.600.3.20