N.M. Stat. § 73-15-14
In case any property within or without any district is benefited, which for any reason was not appraised in the original proceedings or was not appraised to the extent of benefits received; or in case any person or public corporation shall make use of or profit by the works of any district to a degree not compensated for in the original appraisal; or in case the board finds it necessary subsequent to the time when the first appraisals are made, to damage or take any additional property, the board, at any time such condition becomes evident, shall direct the appraisers to appraise the benefits, or the enhanced benefits received, or damages or the value of property taken; and the proceedings outlined for appraising lands not at first included within the boundaries of the district shall in all matters be conformed to, including notice to the party or parties interested; or the board may, at its discretion, make settlement with such parties for such use, benefit, damage or property taken.
NMS § 73-15-14