N.M. Stat. § 45-3-929
Right of reimbursement.
A. A person required under Section 13 [45-3-928 NMSA 1978] of this act to pay an
estate tax greater than the amount due from the person under Section 7 or 8 [45-3-922,
45-3-923 NMSA 1978] of this act has a right to reimbursement from another person to
the extent that the other person has not paid the tax required by Section 7 or 8 of this
act and a right to reimbursement ratably from other persons to the extent that each has
not contributed a portion of the amount collected under Subsection B of Section 13 of
this act.
B. A fiduciary may enforce the right of reimbursement under Subsection A of this
section on behalf of the person that is entitled to the reimbursement and shall take
reasonable steps to do so if requested by the person.