MEXICO CITY - A controversial bid by US President Donald Trump to deport non-Mexican illegal migrants to Mexico will top the agenda when officials from both countries were scheduled to meet on Thursday amid a deepening rift between the two nations.

The US government on Tuesday said it would seek to deport many illegal immigrants to Mexico if they entered the United States from there, regardless of their nationality, prompting a fiery response from Mexican officials.

Calling the measure "unilateral" and "unprecedented", Mexican Foreign Minister Luis Videgaray said new immigration guidelines would top the agenda of meetings with US Secretary of State Rex Tillerson and Homeland Security Secretary John Kelly.