KCNA said the two leaders "gladly accepted each other's invitation, convinced that it would serve as another important occasion for improved" relations between their countries.
Pompeo also sought to counter concerns that North Korea and the US came away from the talks with fundamentally different interpretations. Now, we're going to see.
"He made very clear that the condition precedent for the exercises not to proceed was productive, good-faith negotiations being ongoing and at the point it's concluded that they're not, the President's commitment to not have those joint exercises take place will no longer be in effect", Pompeo said.
"Before taking office people were assuming that we were going to War with North Korea", Trump added. North Korea is a real and present threat.
"India welcomes the United States-DPRK (Democratic People's Republic of Korea) Summit held in Singapore". Earlier Wednesday, North Korea's state KCNA news agency said denuclearization would be a "step by step process" with "simultaneous action", a stance that appeared to contradict the US refusal to offer sanctions relief before North Korea gives up its nuclear weapons. Absolutely. you used the term major, major disarmament, something like that?
Trump also addressed his announcement that the US would end military exercises with South Korea.
On the way forward, Pompeo said, "I don't know exactly what the timing will be for our next conversation with the North Koreans".
The official said the military would continue its current coordination and work with South Korea until told otherwise. -South Korean drills could also erode the effectiveness of the military alliance between Washington and Seoul.
"U.S. troops are not bargaining chips to be offered up in an off-handed manner", Duckworth said in a statement.
Conservative House Republicans were unrepentant in their praise for the president for engaging with North Korea, a sharp reversal from many of their views on similar negotiations between President Barack Obama's Secretary of State John Kerry and Iran.
State media also said that Trump agreed to lift sanctions and promised unspecified security guarantees.
He said Trump and Kim reached understandings not written in the document they signed. He said South Korea is still trying to figure out the exact meaning and intent of Trump's comments.
Officials continue to reiterate that all exercises are defensive in nature, even as Trump called them "provocative" - a word out of the North Korean playbook. Bush took a tougher stance toward North Korea, and the 1994 nuclear deal collapsed because of suspicions that the North was running a secret uranium program. "By the way, Korean stuffed cucumber is stuffed with Koreans - Kim is a monster".
During his post-summit press conference, Trump admitted that he may be wrong about Kim's willingness to denuclearize.
Pyongyang in return "commits to work toward complete denuclearisation of the Korean peninsula".
"Meeting with Kim Jong-un was an interesting and very positive experience".
Analyst Hong Min at Seoul's Korea Institute for National Unification said critics of the joint statement signed by Trump and Kim are missing a bigger point.
However, some are still wary of the nature of the summit, with some saying the document signed between the two leaders looks "scarily like a draft agreement".
Pompeo said he expects the USA would next speak to North Korean officials "fairly quickly after we return to our home countries", adding he was "very confident" that some form of engagement would occur in the next week. Trump will likely benefit politically from that sense of relief.
Everyone had been wondering how much of his nuclear programme he'd be willing to put on the table to get that.