SEOUL, South Korea — Secretary of State Mike Pompeo met on Sunday with Kim Jong-un of North Korea as he tried to get him to take steps toward denuclearization and arrange another summit meeting with President Trump. Here are four things Mr. Pompeo got — and didn’t get — from the meeting.

Trump and Kim may soon meet again

After Mr. Pompeo’s visit, hopes are rising for a second meeting between Mr. Trump and Mr. Kim.

President Moon Jae-in of South Korea, who was briefed by Mr. Pompeo on his trip to Pyongyang, said the North and the United States had agreed to hold its second summit meeting “as early as possible” to follow up on the vaguely worded agreement on denuclearizing North Korea that the two reached in Singapore in June.

But Mr. Pompeo left Pyongyang without a location and date for what his department called “the upcoming second summit.” He left that to talks between Stephen E. Biegun, Washington’s new point man on North Korea, and Choe Son-hui, the North’s vice foreign minister.

In the proposed second summit meeting, Mr. Trump hopes to deliver major progress in his efforts to denuclearize North Korea, while Mr. Kim has vowed not to give up his nuclear weapons without “corresponding” concessions from Washington.