Indeed Nikki Haley, the USA ambassador to the United Nations, called the idea "insulting" in September, for equating defensive measures with the belligerence of "a rogue regime".
The next major drill, Ulchi Freedom Guardian, is planned for the end of the summer.
Seoul, which has tens of thousands of USA troops on its soil to help protect it from its hostile northern neighbour, said the suspension would affect the large-scale Ulchi Freedom Guardian exercises slated for August.
The North Korean leader is believed to have landed in the Chinese capital late Tuesday morning, with ABC News reporting that a convoy believed to be carrying Kim had been spotted in central Beijing.
Shortly after the USA and South Korean militaries formally announced the Ulchi Freedom Guardian exercises slated for August had been called off, Seoul's Defense Ministry said the decision was necessary to support ongoing talks both countries have with North Korea.
Trump also tweeted a defence of widespread criticism of the summit, his apparent concessions to Kim and his praise of the authoritarian leader.More news: Princess Charlotte's lesson in royal public appearances from the Queen
Rather than use a North Korean plane to reach the Singapore summit, Kim used an Air China plane that was lent to him.
It was a stark reversal.
Beijing's fear was grounded in its own past experience: that China itself has a record of flipping its allegiance with the Soviet Union and pivoting toward better relations with the U.S. In spite of being socialist comrades with Moscow for 25 years after World War II, Beijing tilted toward the U.S.to balance Soviet hubris and increasing bellicosity.
The Pentagon did not go beyond suspending the next exercise on Monday, saying that it is still coordinating additional actions and no decisions have been made on future exercises.
The meeting would have been unthinkable a year ago when tensions escalated between the two countries after North Korea came into action to develop a nuclear-tipped missile capable of targetting the United States. Most of all it wants to gradually reduce USA influence in the region; a cessation of the annual drills helps.
He called U.S. -South Korean exercises "important pillars" to maintaining regional peace and stability. In May, ahead of his summit with Kim, Trump ordered the Pentagon to prepare options for doing just that. When Mom and Dad are fighting, the kids know how to exploit that to get what they want from one or the other. "Plus, I think it's very provocative". "But that's not part of the equation right now".
But analysts say the Singapore summit has made it hard for the Trump administration to return to that policy even if its current diplomacy with North Korea proves to be a failure.
Kuhn reports that "North Korean leaders have in past always traveled to China in armored trains, and kept the visit secret until after it was over, apparently because they feared assassination attempts". "China of course supports it". "China will continue to play a positive role in this process", Wang added.