Doctors in Cincinnati said he had suffered severe brain damage, although they weren't sure what led to it.
After the president's remarks, Warmbier's parents said in a statement, "We have been respectful during this summit process".
But North Korea's foreign minister said Pyongyang had only wanted some of the measures eased, and that its proposal to close "all the nuclear production facilities" at its Yongbyon complex was its best and final offer.
Kim "tells me he didn't know about it, and I will take him at his word", the president told reporters during a press conference Hanoi, Vietnam.
Watch more from Wallace above, and see Kellyanne Conway's reaction to the Warmbiers' statement below.
Jimmy Kimmel has added his voice to criticism of President Donald Trump's summit with North Korean leader Kim Jong Un, with the comedian suggesting the president achieved nothing at the meeting in Vietnam.
Following several meetings in Hanoi, Kim Jong Un and Trump chose not to sign a bilateral document, agreeing to continue the dialogue instead.
"No excuses or lavish praise can change that".
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The artist was escorted to a black van by his lawyer Steve Greenberg , and did not answer any of the media's questions. Three of the girls were minors during the time at which the incidents occurred between the span of 2010 and 1998.
Jordyn Woods Shares Her Truth On Red Table Talk
The actor reached out to Woods via FaceTime, as both Jada and her mom Adrienne Banfield Norris joined the conversation off set. In the aftermath, she said she told Kardashian and Jenner she had been at Thompson's house but nothing happened between them.
In Pakistan’s custody, IAF pilot is all about dignity, courage
The army spokesperson said that the Indian forces flew away after dropping a payload of four bombs inside Pakistani territory. He did not elaborate beyond saying the pilots were being "treated well" and made no mention of them being returned to India .
"He tells me that he didn't know about it, and I will take him at his word", said Trump, in comments he later walked back after returning to the United States.
Failure to reach an agreement marks a setback for Trump, a self-styled dealmaker under pressure at home over his ties to Russian Federation and testimony from Michael Cohen, his former lawyer who accused him of breaking the law while in office. His parents have said he was tortured.
Donald Trump may be able to accept North Korean President Kim Jong Un's assurances that he was not involved in Otto Warmbier's death.
"We just like each other. there's a warmth that we have and I hope that stays, I think it will", Trump said. Rob Portman, who took to the Senate floor hours after the president's remarks to say the US can not be "naive" about Kim and about what happened to Warmbier. In fact, Trump said he understands why he and Kim couldn't come to an understanding.
Trump has tried to remain on speaking terms with Kim, whom he labelled in 2017 as a "madman who doesn't mind starving or killing his people".
However, Warmbier's parents have long doubted Pyongyang's account of events, with his father Fred saying that the family did not believe "anything" the "terroristic regime" says.
The North claimed Warmbier fell into a coma soon after he was sentenced, saying he had contracted botulism and been given a sleeping pill.
On December 24, a United States judge ordered North Korea to pay $501 million over Warmbier's death from apparent torture.