The White House said on Thursday that US President Donald Trump received a new letter from North Korean leader Kim Jong-un following up on their Singapore summit.
North Korea had told American officials a few times in recent years that it had about 200 sets of USA war remains in storage.
"Some have called the Korean War the "forgotten war", said Mr Pence, whose father fought in the conflict.
Trump tweeted about the letter on Thursday, thanking Kim for returning the remains of some American war dead from the 1950-1953 Korean War. About 5,300 were lost in what is now North Korea.
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.
At the summit, North Korea had agreed to eventually denuclearize in return for unspecified security guarantees from the U.S.
While it is hoped that the repatriation will give momentum to the implementation of the key element of the deal - the dismantlement of North Korea's nuclear weapons program - progress toward securing firm commitments in that regard from Pyongyang has reportedly been slow. But he cautioned it was unclear if that soldier's remains were among those received from North Korea.
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After the first meeting between sitting leaders from the two countries, the two men pledged to work towards denuclearisation. North Korea has steadfastly argued its nuclear weapons are meant to neutralize alleged USA plans to attack it.
Byrd said the process to fully identify the remains, now more than 60 years old, could take anywhere from days to decades.
Trump has sought to show progress from his June 12 summit with Kim in Singapore.
The foreign ministers from all nations involved in stalled "six-party" negotiations with North Korea aimed at reining in Pyongyang's nuclear programme will be at the gathering: the US, China, Russia, Japan and South Korea. He said during a Tuesday rally in Tampa, Florida, that the USA was "doing well" with North Korea and noted the return of detained Americans and Pyongyang's ceasing of nuclear testing or missile tests.
On Monday, a senior US official said USA spy satellites had detected renewed activity at the North Korean factory that produced the country's first intercontinental ballistic missiles capable of reaching the United States.
To work on the additional remains the team of DPAA researchers assigned to identifying the remains of Korean War missing will almost double in size from five to nine.
Last Friday, . coinciding with the anniversary of the signing of Armistice Agreement, .
With the remains having been returned to the United States, the Defense P.O.W./M.I.A. Accounting Agency, a Department of Defense outfit, now has the hard task of identifying them, which could take months, according to The New York Times.
The Pentagon said last week it was considering the possibility of sending personnel to North Korea to search for additional remains.