The secretary of state did not meet Kim as he had on his previous two trips to Pyongyang this year, and after his departure, the North's foreign ministry accused the US of making "gangster-like" demands that it unilaterally give up its nuclear weapons.
Kim expresses "invariable trust and confidence" in the president and wishes that "epochal progress" in promoting relations will "bring our next meeting forward".
He wrote: "I deeply appreciate the energetic and extraordinary efforts made by Your Excellency Mr President for the improvement of relations between the two countries and the faithful implementation of the joint statement".
While visiting Pyongyang last week, Mr Pompeo said that a Pentagon team would meet with the North's officials in or around Panmunjon - the truce village on the border between North and South Korea.
"We will be ready", Mr Nauert said.
Trump has touted the return of remains as one of the successes of his historic June 12 summit with Kim in Singapore.
North Korea, meanwhile, lashed out at Washington for presenting "gangster-like demands" for complete, verifiable and irreversible denuclearization.
According to the Pentagon, North Korean officials have indicated in the past that they have the remains of as many as 200 U.S. troops.
North Korean officials did not show up to a planned meeting with US officials at the demilitarized zone Thursday, where they were expected to continue discussions on repatriating the remains of Americans killed during the Korean War, a senior USA official tells CNN.
The Americans called North Korean representatives and scheduled a generals' meeting between the two nations to take place Sunday.
In another apparent setback, the U.S. accused Pyongyang of violating sanctions on refined oil products and ordered the United Nations security council to immediately halt all related deliveries to North Korea. The letter was dated July 6, 2018, and was addressed to "H.E. Donald J. Trump", in what appears to be the latest sign that the two men were getting along after making history at the first-ever meeting between a sitting US president and North Korean supreme leader in Singapore last month.
There is speculation that North Korea may also want payment for the return of the remains, our correspondent adds.
The Pentagon says Pyongyang has indicated several times they have as many as 200 sets of remains that could be those of U.S. soldiers who died in the war.
A US official waited at the border truce village of Panmunjom but no North Korean official showed up, South Korea's Yonhap news agency said, citing a Seoul diplomatic source. A total of 7,697 personnel remain unaccounted for from the Korean War.
Between 1996 and 2005, some 33 recovery operations were conducted in North Korea which saw 200 sets of remains returned.
Attached were two images of the letter - one in Korean and the other an English translation.
At the specialty box office, Roadside Attractions and Miramax's " Whitney " bowed with $1.3 million from 452 locations. The 2018 box office as a whole, which just hit $6.5 billion, is up 9 percent from a year ago , according to ComScore.
The Taliban did not claim responsibility for the attack, but acknowledged it in a message on its official Telegram channel. Some of the U.S. forces are involved in counterterrorism operations, particularly against the local Islamic State group.
A trade dispute between the U.S. and China escalated on Friday, but Wall Street focused on a solid jobs report instead. Beijing's taxes hit USA -made aircraft, cars, computer chips, fuel, pork and soybeans.
A swastika became visible on the field of the closed-doors match, caused by a chemical agent put in the grass at Poljud Stadium. Nielson had called a questionable foul for a free kick that led to Zinedine Zidane scoring the opening goal in the 48th minute.
Considering the physical form of the Surface Go first, it is headlined as being the smallest and lightest Surface yet. This somewhat measly CPU will come paired with 4GB or 6GB RAM , a choice of 64GB eMMC or 128G SSD storage .
Health officials have said the people who died didn't have air conditioning in their homes and had health issues. According to the Ministry, numerous dead were over 65 years of age and had physical or mental health problems.
The fourth did not appeal, but his lawyer said they would soon file one, according to the Press Trust of India news agency. Vinay Sharma , Pawan Gupta and Mukesh Singh had challenged the court's 2017 ruling upholding their death penalty .
Kavanaugh says he will begin meeting with members of the Senate on Tuesday. "They understand it's a historic decision", he said . On Monday, Trump phoned Justice Anthony Kennedy to inform him that his former law clerk would be nominated to fill his seat.
I want to admit to the lips, but people are so quick to judge me on everything, so I might have tiptoed around the truth. She later revealed the reason behind her decision during a 2017 episode of her spin-off show Life of Kylie .
The article, published last week, detailed a June incident in which Williams missed an unannounced drug test at her home . Wozniacki suffered a shock 6-4 1-6 7-5 defeat against Ekaterina Makarova. "I just found it quite interesting".
President Donald Trump to visit Windsor on United Kingdom tour
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