N.M. Admin. Code § 19.31.2.6
To revoke, suspend or deny the privileges of any person who persistently, flagrantly or knowingly violates any of the provisions of Chapter 17 NMSA 1978, any rule adopted by the state game commission, the conditions of their agreement, license, permit or privileges, or Section 30-14-1 NMSA 1978; whose name appears on a HSD certified list of obligors not in compliance with the Parental Responsibility Act, Section 40-5A-1 NMSA 1978; who fails to pay a penalty assessment levied pursuant to Section 17-2-10.1 NMSA 1978; who fails to appear, after proper notice, for hearings as required by law or regulation pursuant to Section 17-2-10.3 NMSA 1978; who has a civil judgment assessed against them pursuant to Section 17-2-26 NMSA 1978 until those damages have been paid in full; whose privileges have been revoked by a wildlife violator compact member state or of any resident that fails to meet the terms of a citation issued from a compact member state pursuant to the Interstate Wildlife Violator Compact, Section 11-16-1 NMSA 1978; or, who does not comply with a department sponsored private lands agreement.
N.M. Admin. Code § 19.31.2.6