SEOUL, South Korea — President Moon Jae-in of South Korea sees a more urgent need to travel to North Korea next month and meet with its leader, Kim Jong-un, now that Secretary of State Mike Pompeo’s planned trip there this week has been canceled, Mr. Moon’s office said on Wednesday.

North and South Korea had earlier agreed to hold a third summit meeting in Pyongyang, the North Korean capital, next month. But Mr. Moon had hoped that Mr. Pompeo would break a logjam in talks over denuclearizing the North, making it easier for him to push his agenda of increasing economic and other inter-Korean ties when he sat down with Mr. Kim.

Mr. Moon’s plan was cast into doubt after President Trump last Friday abruptly canceled Mr. Pompeo’s trip.

But on Wednesday, Mr. Moon’s office said he was intent on working as a mediator between Mr. Kim and Mr. Trump, just as he helped broker their first meeting in June.