It has also proposed a "suspension-for-suspension" plan in which the United States, South Korea and Japan freeze military drills in return for North Korea halting its nuclear and missile tests.
Trump is widely unpopular in South Korea, according to analysts based there, and vilified in North Korea, just as he has spent months demonizing Pyongyang and threatening it with "fire and fury".
Yet China has long shared the USA objective of eliminating North Korea's nuclear weapons. For decades, North Korea has used bait-and-switch tactics, staging provocations interspersed with offers to negotiate.
"The US wants a peace treaty at the end of the denuclearization process, while for the North, it's the precondition for its denuclearization". -North Korea deal could have negative implications for Chinese geopolitical interests.
The fear of marginalisation in Beijing is palpable.
South Korean officials told the White House last week that Mr Kim was eager to meet with Mr Trump, and would even suspend Pyongyang's missile testing in order to do so.
Sherman, who served as special adviser to President Bill Clinton on North Korea, traveled to North Korea with then-Secretary of State Madeleine Albright in 2000. "The United States has made zero concessions but North Korea has made some promises".
At the annual press conference held during China's National People's Congress, Chinese Foreign Minister Wang Yi took credit for the Korean Peninsula breakthrough.
Many Democrats as well as Mr Trump's fellow Republicans said the USA should have demanded concessions before granting North Korea a meeting. While China has long advocated dialogue between Washington and Pyongyang, now that it is happening, it seems to have been transformed into a bystander. Beijing may seek to reinsert itself by offering to host the diplomatic talks. First came Kim Jung-un's declaration that he will never use nuclear weapons against South Korea, in a gesture that aimed to suggest that blood is, after all, thicker than political differences.
The US should consult China on what it has in mind and the role it is prepared to play.
"We may be able to pursue a diplomatic solution to the complete denuclearization of the Korean Peninsula". Beijing has openly called for an end to "Cold War" alliances in the region and hopes that American forces will be withdrawn from the Korean Peninsula. If talks progress to the point of considering replacing the armistice that ended Korean War hostilities on July 27, 1953, with a peace treaty, as China is a party to that agreement, it could be invited to join.