Mr Trump discussed the contents of his and Chairman Kim's meeting and said that the North Korean leader fully understood that he had to denuclearise and that he "didn't fight it". A joint statement issued at the end of the summit made no mention of sanctions relief.
The agreement signed by Trump and Kim on Tuesday said the United States would provide security guarantees to North Korea, while Pyongyang committed to denuclearisation. But simultaneously, most of the country's population has been taught that the U.S.in a nation of imperialists determined to destroy their country.
"In this context I would like to stress that we certainly welcome these contacts which began between the leader of the Democratic People's Republic of Korea and the president of the Republic of Korea", he said.
The meeting at Tongilgak, a building on the North Korean side of Panmunjom, was the first of its kind between the two Koreas since December 2007.
"The world should rest assured the United States, Republic of Korea and Japan remain committed to achieve complete, verifiable and irreversible denuclearization of North Korea", he said.
"I hope it's gonna be soon", Mr. Trump told reporters in Singapore after his meeting with Kim.
North Korea says it will destroy a large-scale facility in Tongchang-ri, in North Pyongan Province, that was used to test engines for the Hwasong-14 intercontinental ballistic missile, South Korea's Chosun Ilbo newspaper reported.
Trump, Kim Jong Un sign 'comprehensive' document, vague on specific details
President Donald Trump and North Korean leader Kim Jong Un shared a historic handshake as they met for the first time. He said if diplomacy fails to move in the right direction, the sanctions "will increase".
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Kim meet falls short of Nixon-goes-to-China moment
The two leaders concluded their Tuesday meeting by signing an agreement that acknowledges progress in their talks. If things turn out well, Trump will be encouraged to pursue similar tough terms with Iran.
"We can think about that and we can probably reduce the scale of the military exercises or probably we will stop this time, only once, deployment of strategic assets, which means strategic bombers and aircraft, fighters".
"China has reaffirmed its commitment to honoring the UN Security Council resolutions".
Pompeo, on the other hand, continues to reiterate the long-held administration policy that sanctions will not be rolled back until denuclearization is complete.
Trump obviously didn't get the memo that US presidents salute USA military service members, although they aren't required to, but don't generally salute foreign military members.
President Donald Trump saluted North Korean general and defense minister No Kwang Chol during the Singapore summit, as seen in a video released by the country's state media. In a clip shared by the BBC, Trump is shown meeting various North Korean officials, including a North Korean military general. According to the reviews, Trump didn't get much, including what he'd asked for.
"Regardless of the smiles in the summit many in Japan, South Korea and the U.S. Congress doubt that North Korea is honest in its intentions", the report states.
So Pompeo had some explaining to do as he traveled to Seoul to brief the allies on what transpired in Singapore. -South Korea joint military exercises under pressure from Kim.