N.M. Stat. § 73-7-20
[Drains across railroads; construction.]
Upon receiving a thirty days' notice from the commissioners in writing, which notice
shall be accompanied by the plans and specifications, of the size and character of such
ditch or drain, any railway company, over whose right-of-way or yard such drain or ditch
shall be laid out, may perform the work of constructing such ditch or drain across its
said right-of-way according to such plans or specifications so furnished, and such
railway so constructing such ditch or drain shall receive fair compensation therefor to be
allowed by the commissioners of such drainage district and approved by the court;
provided, that such railway company may be assessed for benefits derived from such
drainage in the same manner and to the same extent as other landowners benefited in
the immediate vicinity thereof, are assessed. If such railway company shall fail to
commence and proceed with the construction of such ditch or drain as in this section
provided, after the notice as herein provided, the commissioners may at any time after
the expiration of said thirty days open or cause to be opened such right-of-way or yard
along the line of such ditch or drain and construct the same in like manner as such ditch
or drain is constructed through the property of individuals, provided, that such
construction shall be carried on in such manner as will not interfere with the operation of
said railway.