In it, Mr Kim says: "I deeply appreciate the energetic and extraordinary efforts made by Your Excellency Mr President".
"I firmly believe that the strong will, honest efforts and unique approach of myself and Your Excellency Mr. President aimed at opening up a new future between the DPRK and the US will sure surely come to fruition", Kim writes. "Great progress being made!"
Mr. Kim did not mention any commitments to the denuclearization process, generally commenting on wanting to improve relations between the two nations. Kim also agreed to repatriate remains of U.S. troops who died during the Korean War six decades ago.
Whether the meeting - the first time leaders of the USA and North Korea have met - has paved the way for peace (and delivers Trump a Nobel) is hotly disputed.
US State Department spokeswoman Heather Nauert said North Korea made contact on Thursday and offered to meet on Sunday instead. Pyongyang has asked the UN Command Armistice Commission to upgrade the talks to a higher level to include a US general, South Korea's foreign ministry said.
The letter is dated July 6, 2018.
The President released the letter in Korean with an English translation. Although Pompeo called the meetings "productive", North Korea said the lack of emphasis on security guarantees was "regretful".
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At the work front, George Clooney will be seen in the Hulu series Catch-22, for which he is now shooting. She recently paid her very first visit to Toronto alongside her father-in-law, journalist Nick Clooney .
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Fans were loving the addition by the director and Brolin, and filled the comments with applause and jokes from the movie. Avengers: Infinity War home video version is expected to release on Amazon Prime Video India, on 21 August.
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As of last night, even the parents of the boys had not been told who had been rescued, one mother told our reporter Michael Safi . The boys and the coach will dive out of the cave one at a time, each accompanied by a member of a team of global and Thai divers.
Separately, North Korean officials did not show up at planned talks with the U.S. Thursday to discuss returning the remains of American soldiers killed during the 1950-53 Korean War, according to a Yonhap report.
In another development on Thursday, North Korean officials failed to turn up for talks with a United States team on the repatriation of the remains of American soldiers killed in the 1950-53 Korean war.
The UNC told the USA defense ministry about North Korea's proposal and is waiting for Washington's answer, the source added.
North Korea, meanwhile, lashed out at Washington for presenting "gangster-like demands" for complete, verifiable and irreversible denuclearization.
Trump himself has remained upbeat about the outcome of the first summit between the leaders of the USA and North Korea.
North Korea said Saturday it was seeking the "earliest start of the working-level talks" on the recovery of USA remains.
But skepticism remains over whether North Korea's findings will satisfy Japan.