N.M. Stat. § 50-1-2
The director of the labor and industrial division shall have the power to hold hearings upon, and therein examine witnesses, administer oaths and take testimony in, all matters specified in any complaint with him filed and relating to his duties and the requirements of Chapter 50, Article 1 NMSA 1978, which hearings shall be held in some suitable place in the vicinity in which the testimony to be taken is applicable, and may issue subpoena for and compel the attendance of witnesses at such hearings; provided, however, that the director of the labor and industrial division shall serve upon the employer and such employees as he deems necessary, a written notice of the time, place, purpose and scope of the hearing at least ten days prior to the date thereof. At the hearing, the employer and any employees to be affected by any of the matters and things mentioned in the notice shall have the right to appear in person or by counsel, to cross-examine witnesses and to introduce such testimony as is competent, relevant and material to the subject, purpose and scope of the hearing as stated in the notice; provided, however, that no witness fees shall be paid to any witness unless he is required to testify at a place more than five miles from his place of residence, in which event the witness shall be paid the same fees as a witness before a district court. Any person duly subpoenaed under the provisions of this section who willfully refuses or neglects to testify at the time and place named in the subpoena shall be guilty of a misdemeanor and upon conviction thereof shall be punished by a fine of not less than fifty dollars ($50.00) nor more than five hundred dollars ($500) or by imprisonment in the county jail not less than ten days nor more than thirty days or by both such fine and imprisonment.
NMS § 50-1-2