Defense Secretary Jim Mattis vowed at the same press conference to "continue to take necessary measures to defend ourselves and our allies" against North Korea, which is working to develop a nuclear-tipped missile capable of hitting the US.
The cause of Warmbier's death is not known, and his family objected to an autopsy, a request the Hamilton County Coroner's Office in OH honored.
The coroner's office has reached no conclusions yet as to the cause of Warmbier's death, but his doctors have said that the young man suffered extensive tissue loss in all regions of his brain, likely due to cardiopulmonary arrest. He will be buried at a nonsectarian cemetery.
Mr Warmbier, 22, a student at the University of Virginia, had been travelling with a tour group when he was arrested at Pyongyang airport in January 2016. Hamilton County Cororner Dr. Lakshmi Sammarco said in a news release her office received and examined Warmbier's body but the family objected to an autopsy and the coroner only performed an external examination. North Korea claimed that Warmbier slipped into a coma after contracting botulism and taking a sleeping pill shortly after his sentencing.
Let us hope Trump puts aside his tendency to respond emotionally and personally to any challenge and formulates a strong response to Warmbier's death without a military confrontation.
Mementos of Warmbier's life lined the hallway outside the funeral service.
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All vehicles entering the parking garage are screened by bomb-sniffing dogs and security guards are present throughout the mall. Eleven other people were killed at the Andino shopping center in the Zona Rosa area Saturday afternoon, authorities said.
The services were being held in his home state of OH, with the funeral at his former high school and burial at a Cincinnati cemetery.
North Korea released him last week for what it described as humanitarian reasons and he died on Monday in a U.S. hospital.
"I had to come out to support the family, and also just to show, in my opinion, the North Korean government that we are a dignified country, unlike them", said Koss a 70-year-old Wyoming resident.
"Didn't matter what time of day or what he was doing, he'd drop everything to help his friends", Mr Beerck said.
"Unfortunately, the bad torturous mistreatment our son received at the hands of the North Koreans ensured that no other outcome was possible", they said.
Any number of factors could be behind the deterioration in Warmbier's health during his time in prison: poor hygienic conditions, malnutrition or lack of proper medical care may have been responsible for a coma that North Korean doctors were unable to treat.