"No agreement was reached at this time, but their respective teams look forward to meeting in the future," White House press secretary Sarah Sanders said in a statement, Yonhap News Agency reported.
She added Trump and Kim "had very good and constructive meetings" for two days.
"The two leaders discussed various ways to advance denuclearization and economic driven concepts," the statement said.
The announcement came after the leaders left the summit venue after apparently canceling their working lunch and a deal-signing ceremony.
Julian Borger, with the Guardian, said "all signs are bad" and pointed to the possible collapse of the talks as Trump skipped a launch with Kim and possibly called off the signing ceremony.
MNA/YONHAP/PR