In any action for personal injury brought in any court of this state, the court, upon being satisfied that the employment of counsel for any party has been solicited in violation of this act [36-2-29, 36-2-31 to 36-2-38 NMSA 1978], shall order all proceedings in the action stayed until such party has been given an opportunity to engage other counsel, and may deny the right to collect costs wholly or in part to any party to the action. Counsel employed in violation hereof shall not be permitted to appear further in the action.
NMS § 36-2-34