N.M. Stat. § 60-5A-2
In any local option district in which the local option provisions of the Liquor Control Act [60-3A-1 NMSA 1978] or former act have been rejected by the voters, it shall be permissible after the expiration of two years from the date of the election at which the local option provisions of the Liquor Control Act or any former act were rejected, to have another local option election in the district by following the procedure provided for in Section 15 [60-5A-1 NMSA 1978] of the Liquor Control Act. At the option of the petitioners referred to in Subsection A of Section 15 of that act, it shall be permissible to resubmit to the voters of one district not only the question of the sale, service or public consumption of alcoholic beverages, but it shall also be permissible to petition for a local option election for the purpose of submitting to the voters of the district the question of permitting the sale of alcoholic beverages by retailers only in the district.
NMS § 60-5A-2