"We are hopeful that we can continue to hold this conversation," he told reporters.
Russian news agency TASS reported earlier that the North's vice foreign minister Choe Son Hui rejected yielding to "US demands in any form," after the Hanoi summit between leader Kim Jong Un and President Donald Trump ended without agreement.
Trump told a post-summit press conference in Hanoi that the North Korean leader had promised he would maintain his moratorium on missile and nuclear tests.
Analysts voiced fears that the change of tone from Pyongyang could mean a resumption of tests, but Pompeo remained upbeat about the pause staying in place.
"We have every expectation that he will live up to that commitment.
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