"The ongoing correspondence between the two leaders is aimed at following up on their meeting in Singapore and advancing the commitments made in the US-DPRK joint statement", White House spokeswoman Sarah Sanders said in a statement, using the acronym for North Korea's official name, Democratic People's Republic of Korea.
Kim sent a letter to Trump in mid-July in which the North Korean leader said he hoped there would be a second meeting between the two but it was unclear if that was the "nice letter" to which Trump referred on Thursday. This comes as the US leader mentioned the letter in a tweet earlier Thursday, .
"We have remains that look to have been in a state of preservation consistent with coming from the Korean War era", he said, and materials provided with the remains included USA -issued military equipment such as canteens and buttons. Late Wednesday, he addressed Chairman Kim in a tweet, saying he was "not at all surprised that you took this kind action".
"What we saw were remains that were consistent with what we have found from the Korean War recoveries that we've done over the years, and we found remains that were consistent with being Americans", Byrd said, speaking by video teleconference from Hawaii.
With little public sign of progress toward Trump's aim of Korean denuclearization, the White House said the letter followed up on the pair's June 12 summit.
On Wednesday, Trump thanked Kim Jong-un for returning some of the remains of American soldiers from the Korean War after Vice President Mike Pence traveled to Hawaii to receive the remains.
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China is North Korea's most important economic and diplomatic supporter and fought for the North in the 1950-53 Korean War against the USA -led United Nations forces that backed South Korea.
Marines fought on the west side of the reservoir, "and the east side - that's where the Army was", said Byrd, laboratory director of the Defense POW/MIA Accounting Agency (DPAA). It marks the beginning of a long process to identify all the remains.
Friday's transfer of the remains on the Korean Peninsula coincided with the 65th anniversary of the 1953 armistice that ended fighting between North Korean and Chinese forces and South Korean and USA -led forces under the U.N. Command. Following the summit, satellite footage clearly showed that North Korea was increasing its nuclear research with upgraded facilities. But today, we prove these heroes were never forgotten.
The U.S. military flew the remains from Osan Air Base in South Korea after they had undergone an initial review.
The Post also reported that North Korean officials have talked about how they plan to deceive the USA about the size of their arsenal of missiles and nuclear warheads and facilities.
Experts say that the painstaking identification process could take anywhere between days to decades to complete.