With the Hanoi Summit ending in a disappointing failure, it's not clear where the US and North Korea will go from here on negotiations, and no timeline has been set for future talks. Whatever they plan, however, they'll have help.

South Korean President Moon Jae-in, an outspoken supporter of the peace process who has met repeatedly with both sides, says he intends to work closely with Trump and Kim on the matter to get the complete settlement reached by any means. 

Moon has been closely advising both sides throughout the process, and says that a big part of his immediate focus will be talking with the US on ways to resume joint projects with North Korea without running afoul of US sanctions. 

Both the US and North Korea have said the talks will continue, and also are trying to emphasize the progress made so far. South Korean officials have also been talking up that progress being made at the summit, and are likely to keep everyone at least somewhat upbeat about the process.