N.M. Stat. § 66-5-209
"Judgment," as used in the Mandatory Financial Responsibility Act, means any judgment which becomes final by expiration without appeal of the time within which an appeal might have been perfected or by final affirmation on appeal rendered by a court of competent jurisdiction of any state or of the United States, upon a cause of action arising out of the ownership, maintenance or use of any motor vehicle of a type subject to registration under the laws of New Mexico, for damages, including damages for care and loss of services, because of bodily injury to or death of any person or for damages because of injury to or destruction of property, including the loss of use thereof, or upon a cause of action on an agreement of settlement for such damages.
NMS § 66-5-209