U.S. Secretary of State Mike Pompeo said Wednesday he had a "very positive" meeting with his North Korean counterpart to plan a second summit between their leaders.

Pompeo posted the news on Twitter after meeting with North Korean Foreign Minister Ri Yong-ho on the sidelines of the United Nations General Assembly in New York.

"Very positive meeting with #DPRK Foreign Minister Ri Yong Ho @UNGA to discuss upcoming summit and next steps toward denuclearization of #NorthKorea," Pompeo wrote, referring to North Korea by its formal name, the Democratic People's Republic of Korea.

"Much work remains, but we will continue to move forward," he added.

U.S. President Donald Trump has said he expects to meet North Korean leader Kim Jong-un soon to follow up on their first summit in Singapore in June.

At that meeting, Kim committed to work toward "complete denuclearization" of the Korean Peninsula in exchange for security guarantees from the U.S.

Trump told reporters at the U.N. Wednesday that a date and location for the second summit will be announced "in the very near future."

And Pompeo told CBS in an interview that while the meeting could happen in October, it will likely take place after that.

The North Korean foreign minister arrived in New York Tuesday to attend the U.N. meeting, where he is slated to deliver an address Saturday.

Pompeo said last week that he had invited the minister to meet with him at the U.N.

Source: Yonhap News Agency