US Secretary of State Rex Tillerson and Homeland Security Secretary John Kelly are visiting Mexico to repair frayed relations between the two nations.
Mexican Foreign Minister Luis Videgaray said controversial new US immigration guidelines would top the agenda.
The US plan to expel to Mexico all illegal immigrants found crossing the US border regardless of nationality has angered the Mexicans the most.
Relations between the neighbours are at their lowest point for decades.
Mexico anger ahead of Tillerson visit
Mr Tillerson and Mr Kelly face a tough task to allay their counterparts' concerns at Thursday's meeting in Mexico City.
The Mexican foreign minister said on Wednesday his country has "no reason to accept unilateral decisions imposed by one government on another".
"We are not going to accept that, because we don't have to."
The White House issued two memos on Tuesday targeting millions of illegal immigrants for possible deportation, mirroring a previous executive order signed by President Donald Trump.Media captionUS immigration raids leave many 'afraid to open the door'
The new policy, which seeks to step up enforcement of existing US immigration laws, subjects nearly all illegal immigrants to deportation and speeds up their removal.
It also calls for sending immigrants caught crossing the border illegally back to Mexico, irrespective of where they are from, and deporting anyone charged or convicted for any crime.
Mr Tillerson and Mr Kelly will probably also face questions about the new guidelines in their meeting with Mexican President Enrique Pena Nieto.
US relations with its southern neighbour have also soured over trade-related skirmishes since Mr Trump took office.
The president has insisted that Mexico will pay billions for a wall along the US border, which prompted Mr Nieto to cancel a planned Washington visit late last month.
Mr Trump has also ordered a report, due on Friday, listing all foreign aid the US provides to Mexico.Media captionWhere do America's undocumented immigrants live?
It is unclear why he requested the review, but its inclusion in Mr Trump's executive order on constructing a wall along the southern border suggests he may use it for leverage in negotiations with Mexico.
Mexican officials are also concerned about Mr Trump's pledge to renegotiate trade partnerships between the two countries.
The president has proposed to levy a 20% tax on Mexican imports to pay for a border wall.
Democratic senators urged Mr Tillerson and Mr Kelly to work through tensions with their Mexican counterparts on Thursday.
"We urge you to use your visit to disavow vitriolic rhetoric and forge a strong partnership based on mutual respect with the government of Mexico," the senators wrote in an open letter.