Pence puts Japan on notice that Washington wants results "in the near future" from talks it hopes will open markets to US goods, adding that the dialogue could lead to negotiations on a two-way trade deal.
Despite the tension, North Korea may carry out a sixth nuclear test soon, observers say.
The issue at the core of the situation is North Korea's nuclear and missile programme which has progressed steadily through decades despite threats, pressures and various other actions by the United States and other countries. But Pence expressed impatience with the unwillingness of the regime to move toward ridding itself of nuclear weapons and ballistic missiles.
Former defense officials like Abraham Denmark believe that neutralizing test missiles would lead to an escalation that could possibly be deeply impactful for South Korea and Japan, two USA allies in the region.
North Korea's Vice Foreign Minister Han Song-Ryol told the BBC that missiles would be tested on "a weekly, monthly and yearly basis". Trump doesn't seem to know exactly who the leader of North Korea is - or have any grasp of how long he's been in power. While Obama's strategic patience doctrine often receives bipartisan criticism, Lavrov questioned the accuracy of the label given previous US led sanctions against the DPRK.
Kim is determined to deliver an ICBM capable of striking the USA mainland into the hands of North Korea.
While China says it also wants nuclear weapons purged from the Korean peninsula, the country has advocated diplomacy as the only way to achieve that goal.
Speaking at the event, Abe said that Japan also hopes for peaceful dialogue with Pyongyang, "but at the same time, dialogue for the sake of dialogue is valueless".
"It would be bad but the war would be over here (there), wouldn't be here", Graham said with a gesture with his fingers.
She said that she wanted Pyongyang to see that the U.S. was not an aggressor. Photo Credit: Franck Robichon/AFP via Getty Images "We seek peace always as a country, as does Japan, but as you know and the United States knows, peace comes through strength and we will stand strongly with Japan and strongly with our allies for a peace and security in this region", Pence added.
The probability of Aegis interceptors missing a North Korean target would be embarrassing for the USA and embolden Pyongyang. The high-profile failure came as the North tried to showcase its nuclear and missile capabilities around the birth anniversary of the North's late founder and as a USA aircraft carrier neared the Korean Peninsula.
Mattis did not identify the type of missile but said it was not of intercontinental range, meaning it could not reach USA territory.
Experts warned of the risk of shooting down a missile test launched by North Korea. But confrontation and conflict will not resolve the problem, and may worsen it as North Korea is nuclear and unpredictable. That calculation could change if China views a unilateral USA military strike as credible - a prospect pushed by Trump officials after the April 6 missile attack on Syria, which he disclosed during dinner with Xi. Recent satellite imagery suggests the country could conduct another underground nuclear test at any time.