Haass, who advised on Trump during the campaign period, said Warmbier's death would have an impact not only on American thinking on the reclusive country but also any future denuclearization talks with the Kim Jong-un regime.
Otto Warmbier, 22, returned to the United States last Tuesday, after he spent 17 months in North Korea where he was arrested. He died a week after returning home to Ohio.
Warmbier had planned to study in China in his third year of college and heard about Chinese travel companies offering trips to North Korea.
Otto Warmbier was arrested and imprisoned during a visit to North Korea What happened to Otto Warmbier in North Korea? "He looked very uncomfortable - nearly anguished", the family's statement said.
"Yes, this had happened while Mr Warmbier was in the detention of North Korean authorities", Moon told CBS television's "This Morning".
He was arrested in North Korea while visiting as a tourist. No ban is imminent, but deliberations gained new urgency after Warmbier's death, said the official, who requested anonymity to discuss internal diplomatic discussions. The source asked for anonymity in order to protect the business he works for.
He praised Secretary of State Rex Tillerson efforts, which hastened Warmbier's rescue mission, to bring back the 22-year-old student on US soil. Some 20 to 30 global tour agencies - many based in China - now operate tours to the reclusive state.
Young Pioneer Tours described itself as providing "budget tours to destinations your mother would rather you stayed away from".
He was sentenced to 15 years of hard labor in March 2016 for trying to steal a political banner, and was medically evacuated to OH last week.
From Capitol Hill to the White House, pressure mounted for a tough US response, even as USA diplomats sought to protect others Americans from facing a similar fate.
"We do our utmost to inform and protect our customers before they book the tour". However, Otto's family believe he was psychologically tortured into a coma despite no apparent injuries.
The Wall Street Journal reported Sunday that USA diplomats have already held discussions for more than a year with North Korea's top nuclear negotiator, focused on freeing American prisoners.
Some go to witness specific North Korean state holidays, others for events like the Pyongyang Marathon.
One woman who spoke to CNN likened the city to a "movie set". "How do you punish North Korea?"
"It's something that's been on the back of my mind for a while", she told CNN. And then, as a second phase, try to achieve the complete dismantlement of North Korea's nuclear program.
Protecting the lives of Americans overseas is essential, and one of the tasks that citizens most value about the State Department.
Dozens of North Korean missile launches and two nuclear bomb tests since the beginning of past year have heightened tensions on the Korean peninsula. China has backed the Kim dynasty since the Korean War, in part to keep US troops away from its border.
McCain added that in addition to its other hostile actions, the dictatorship "has escalated to brutalizing Americans, including three other citizens now imprisoned in North Korea".
Warmbier was in a coma since March 2016, according to his father.
Three more United States citizens are now being held by North Korea.
Concerns persist that the two presidents may struggle to narrow their differences, especially on North Korea, with Moon pursuing cross-border reconciliation and Trump pushing for a policy centering on "maximum pressure".