N.M. Stat. § 1-13-2
Post-election duties; missing returns.
A. If at the time the county canvassing board meets it appears that a precinct board [election
board] has not delivered the election returns to the county clerk, the county canvassing board
shall immediately issue a summons to bring before it the delinquent precinct board [election
board] together with the missing election returns. The summons shall be served by the sheriff,
without cost to the county, and the members of the precinct board [election board] shall not be
paid for their service on election day.
B. If within ten days after the date of the election the secretary of state has not received the
election returns of any precinct, the secretary of state may send a special messenger to the
county and precinct to secure and convey the missing returns to the secretary of state.