The vice president commended Trump on his success thus far with North Korea, speaking of that country's participation in the Winter Olympics, the suspension of all ballistic missile testing and, recently, the release of three American hostages.
Iran said Monday that North Korea should be wary of negotiating with Trump in light of his withdrawal from the landmark agreement, which the Obama administration had reached with Iran, Britain, France, Germany, China and Russian Federation.
"There's no history of this family ever having not lied to the West", Shapiro said.
China has signed up for increasingly tough United Nations sanctions against its isolated neighbour following Pyongyang's repeated nuclear and missile tests, but has always said sanctions should be accompanied by talks for a political resolution. The South Korean military seemed similarly surprised.
"We in Australia, the Australian government is now assessing what we could offer in terms of expertise to assist in that verification process", Ms Bishop said.
But Trump refused to endorse a communique at the G7 summit over the weekend that said participants were "guided by our shared values of freedom, democracy, the rule of law and respect for human rights and our commitment to promote a rules-based global order".More news: Nadal advances to 11th French Open final, will face Thiem for title
His comments echoed those of US Secretary of State Mike Pompeo who said on Monday talks between the countries were "moving quite rapidly and we anticipate they will come to their logical conclusion even more quickly than we had anticipated".
Trump told the press that he wants to "bring them (U.S. troops) back home", but that the issue is "not part of the equation right now".
US Forces Korea (USFK), which comprises about 28 500 troops permanently based in South Korea, received no immediate new guidance on upcoming joint training exercises, including so-called Ulchi Freedom Guardian scheduled for later this year. "We will be there together with North Korea along the way", he said.
But analysts warned there were still big challenges ahead, especially since the two sides failed to reach any specific agreement on dismantling North Korea's nuclear weapons - a threat on China's doorstep. This could be part of US efforts to ensure regime security for North Korea.
The military doesn't use the term "war games".
The 1950-53 Korean War ended with an armistice and a state of war still technically exists between the two Koreas.