N.M. Stat. § 73-6-10
Upon the adjourned day the same proceedings, adjournments, trial, findings and orders may be had as in case of complete service of notice in the first instance. In case of failure to mail said notice as herein required, the court or judge may order the same mailed at least fourteen days before said adjourned hearing. In case of failure to publish or post notice, as in this chapter required, the court or judge may adjourn said hearing for sufficient time to permit the due posting and publication of said notice, and order said notice posted or published as in Section 73-6-4 NMSA 1978 directed. In case of adjournment to permit notice to be given the notice shall state the fact of such adjournment and the time and place of hearing pursuant to said adjournment.
NMS § 73-6-10