N.M. Stat. § 32A-1-18

A. When it appears from the facts during the course of any proceeding under the Children's Code that some finding or remedy other than or in addition to those indicated by the petition or motion are appropriate, the court may, either on motion by the children's court attorney or that of counsel for the child, amend the petition or motion and proceed to hear and determine the additional or other issues, findings or remedies as though originally properly sought.

B. Upon application of a party, the court shall issue, and upon its own motion the court may issue, subpoenas requiring attendance and testimony of witnesses and the production of records, documents or other tangible objects at any hearing.

C. Subject to the laws relating to the procedures therefor and the limitations thereon, the court may punish a person for contempt of court for disobeying an order of the court or for obstructing or interfering with the proceedings of the court or the enforcement of its orders.

D. In any proceeding under the Children's Code, either on motion of a party or on the court's own motion, the court may make an order restraining the conduct of any party over whom the court has obtained jurisdiction if:

(1) the court finds that the person's conduct is or may be detrimental or harmful to the child and will tend to defeat the execution of any order of the court; and

(2) due notice of the motion and the grounds therefor and an opportunity to be heard thereon have been given to the person against whom the order is directed.

E. In any proceeding under the Children's Code, the court may allow a party or witness to the proceeding to participate by the use of electronic communications, consistent with the rights of all parties to the proceeding and pursuant to rules promulgated by the supreme court.