It's quite unlikely that North Korea would agree to suspend their nuclear weapons development. However, they may be willing to scale down or reduce the number of missile tests if concessions are made by the international community.
Below are 2 more feasible negotiation strategies that North Korea is more likely to agree on.
1. Suspending the U.S.-South Korean military exercises
North Korean officials have mentioned that they may "exercise restraint in the testing of ballistic missiles and nuclear weapons if the United States and South Korea adjusted the exercises to make them less threatening".
It is not surprising that North Korean officials both publicly and privately have harped on getting the exercises canceled to create the right atmosphere for renewed diplomatic dialogue.
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So, in November 2016, in private discussions with American experts, including one of the authors, North Korean officials hinted they might be willing to exercise restraint in the testing of ballistic missiles and nuclear weapons if the United States and South Korea adjusted the exercises to make them less threatening. That message was reaffirmed by the Korean Central News Agency, Pyongyang’s official mouthpiece, which stated on February 6 that “the Trump Administration should propose the DPRK to adjust military drills in 2017.”
Basically, this exercise is named "Foal Eagle" and is conducted annually. The aim, as quoted from the Department of Defense, is:
Conducted as a clear demonstration of the U.S. commitment to the alliance, he said, Foal Eagle 2017 is designed to increase readiness to defend South Korea, to protect the region, and to maintain stability on the Korean Peninsula.
While the US insists that the drills were strictly defensive, North Korea have consistently strongly opposed it and issues angry responses and threats every year.
2. Provide North Korea with more economic incentives
William Perry, the Secretary of Defense under the Clinton administration, wrote in an article for Politico that one strategy is to convince the North Korea regime a way of surviving without nuclear weapons. While this won't stop their nuclear weapons programme completely, it may convince them to scale down their efforts.
This can be done, according to him, by cooperating with China as "China is the only nation that can provide powerful economic disincentives for North Korea".
With that understanding, a new negotiating strategy can be employed—one that should allow the North Korean regime to see a way of surviving without nuclear weapons, and that should be backed up by more powerful economic incentives and disincentives than before. Thanks to two new international developments, a strategy like this is now possible—and the North Koreans are more likely to accept.
It's also worth noting that North Korea did agree to abandon “all nuclear weapons and existing nuclear programs” in exchange for energy assistance from the other countries. However, due to disagreements relating to verification, North Korea eventually walked out of the agreement.