N.M. Stat. § 40-6A-609
Procedure to register child support order of another
state for modification.
A party or support enforcement agency seeking to modify, or to modify and enforce,
a child support order issued in another state shall register that order in this state in the
same manner provided in Sections 40-6A-601 through 40-6A-608 NMSA 1978 if the
order has not been registered. A petition for modification may be filed at the same time
as a request for registration, or later. The pleading shall specify the grounds for
modification.