LOS ANGELES — The Trump administration on Monday announced that it would reconsider its decision to force immigrants facing life-threatening health crises to return to their home countries, an abrupt move last month that generated public outrage and was roundly condemned by the medical establishment.

On Aug. 7, the United States Citizenship and Immigration Services, without public notice, eliminated a “deferred action” program that had allowed immigrants to avoid deportation while they or their relatives were undergoing lifesaving medical treatment.

The agency, part of the Department of Homeland Security, had sent letters informing those who had asked for a renewal, which the immigrants must make every two years, that it was no longer entertaining such requests. The letters said that the immigrants must leave the country within 33 days, or face deportation.

On Monday, the agency said in a statement that while limiting the program was “appropriate,” officials would “complete the caseload that was pending on August 7.”