Trump said that while he has been "reading stories" about North Korea's comments, Kim's government hasn't altered arrangements for the summit.
The U.S. demand includes shipping a quantity of North Korea's nuclear warheads, nuclear materials and intercontinental ballistic missiles overseas within six months, according to the sources.
Trump reiterated that as far as he knew the meeting with Kim was still on track.
South Korea's presidential Blue House said it would seek to bridge the gap between Washington and Pyongyang.
Ri was apparently referring to a news conference held by Thae Yong Ho, a former senior North Korean diplomat to Britain who defected to the South in 2016.
Now China and North Korea's interests are becoming more aligned.
Moreover, while we are running a risk today, an intransigent North Korea that walks out would be running a risk as well.
"The Libya model was a much different model".
Pyongyang appears to be putting pressure on both the US and South Korea and refusing to talk until some concessions are made, she adds.
He also criticised the South Korea for allowing "human scum" (a reference to a North Korean defector) to speak at the Seoul National Assembly.
Bolton had put Pyongyang on alert with his remarks just days back suggesting the country's denuclearisation should follow the "Libya model" obeyed by its leader Muammar Gaddafi. "That is, we don't fully understand what's in the mind of Kim Jong-un on a variety of issues and we're always trying to get more intelligence".
The statement came after Bolton suggested in several public interviews that North Korea should give up its weapons the way Libya did in 2003.
He joked about attacking North Korea should the talks fail. The United States and its allies have paused their efforts to increase sanctions on North Korea to give diplomacy a chance to work. "There was no deal to keep Gaddafi".
"The United States will also have to undertake careful deliberations about the fate of the planned North Korea-U.S. summit in light of this provocative military ruckus jointly conducted with the South Korean authorities", KCNA said.
He was apparently referring to the US call to start dismantling weapons and missiles in exchange for a delisting of North Korea as a state sponsor of terrorism, the sources said. "And he's willing to, I think, do a lot also. And he'll get protections that would be very strong". It includes aircraft from across the United States military services. "But there should be no mistake that if we don't see that commitment to denuclearization then we're not going to make the mistakes of past administrations and fall into endless discussions with North Korea".
Trump's pre-emptive blaming for deals not yet achieved extended elsewhere.
The president added that his team is now working with North Korean counterparts to finalize details for the upcoming June 12 meeting in Singapore.