N.M. Admin. Code § 19.25.2.30
A party may file a written request for reconsideration with the state engineer within 10 days of receipt of a final decision, and shall serve such request on all parties to the proceeding. A request for reconsideration shall state the factual and or legal basis for reconsideration of the state engineer's decision, and shall contain appropriate citations to the record. The filing of a request for reconsideration does not operate to toll or otherwise delay the time for filing an appeal as set forth in NMSA 1978, Section 72-7-1. If the state engineer takes no action on a request for rehearing within 10 days of its filing, it shall be deemed denied. If the state engineer grants a request for reconsideration, the state engineer shall issue an order vacating the final decision.
N.M. Admin. Code § 19.25.2.30