The UN official was scheduled to meet other representatives of the North Korean regime to discuss matters of mutual interest and concerns. Ri held a conversation with Feltman, who also paid a courtesy visit to the Supreme People's Assembly (North Korea's Parliament).
North Korea's vice foreign minister met visiting United Nations political affairs chief Jeffrey Feltman on Wednesday in the North Korean capital, Pyongyang, the North's state media said, APA reports quoting Reuters.
North Korean officials rarely brief the media on the content of discussions with foreign dignitaries.
The trip, made in response to an invitation from Pyongyang, comes almost a week after the North test-fired a new intercontinental ballistic missile it says is capable of reaching the US mainland.
On Wednesday, he met with North Korean Vice Foreign Minister Pak Myong-guk and Russian Ambassador to Pyongyang Alexander Matsegora.
U.S. State Department spokeswoman Heather Nauert has said Feltman is not visiting Pyongyang on behalf of Washington.
Feltman is the most senior United Nations official to visit the North in more than six years since his predecessor Lynn Pascoe visited in February 2010 and former United Nations humanitarian chief Valerie Amos in October 2011.
While seeking a diplomatic solution to the nuclear issue, the Trump administration continues to call for more pressure on North Korea.
"We have never sought war with North Korea and still today we do not seek it", she said.