"We are hopeful that talks will achieve progress toward a future of peace and prosperity for the entire Korean Peninsula," the White House said in a statement.
"The United States appreciates the close coordination with our ally, the Republic of Korea, and looks forward to continuing robust discussions in preparation for the planned meeting between President Donald J. Trump and Kim Jong Un in the coming weeks."
After shaking hands over the Military Demarcation Line dividing the two Koreas, Kim stepped over -- making him the first North Korean leader to enter the South since the Korean War ended in armistice 65 years ago.
The encounter is intended to pave the way for a much-anticipated meeting between Kim and US President Trump.
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