The statements appeared to be aimed at overcoming a tense feud between Long and Nielsen that has distracted staff at the Federal Emergency Management Agency— where Long is well liked — right at the moment that the agency is coping with flooding from Hurricane Florence.

A person familiar with Long’s case said he will not be referred for criminal charges, a possibility that left him rattled this week and on the verge of quitting right as Florence hit his home state, North Carolina. President Trump has told advisers he likes Long and wants him to stay in the job, according to a senior administration official who spoke on the condition of anonymity in order to discuss the FEMA administrator’s predicament.

In a phone call Friday morning, Long and Nielsen discussed the inspector general’s final report, according to two senior government officials, and seemed to reach a resolution to their bitter feud. Long has told colleagues he hoped the resolution would lead to detente with Nielsen. In her statement, Nielsen said a review of the FEMA administrator’s conduct by the DHS inspector general was complete. Long’s use of government vehicles to travel between Washington and his home in Hickory, N.C., had been done “without proper authorization,” she said.