The quake caused by the test was 9.8 times more powerful than its previous test.
They denied the discussions were "serious" or "detailed" - and said the U.S. have "no strong opinion" on the deployment.
Japanese Prime Minister Shinzo Abe on Sunday said a sixth nuclear test by Pyongyang would be "absolutely unacceptable", after a 6.3 magnitude explosion in the North indicated a new detonation.
"I have already instructed the related ministries to collect and analyse intelligence, to give people of Japan informed appropriately, as well as to liaise with the related nations such as the US, South Korea, China and Russian Federation", he said.
North Korea's state TV announced the country's test of the device meant for an intercontinental ballistic missile (ICBM) was a complete success.
RGTV: Shea Patterson discusses season-opening performance
DeMarkus Lodge had a pair of touchdown receptions of 5 and 14 yards in the first and third quarters, respectively. Jones said X-rays on the senior's injured leg were negative, but it was unclear how long he might be sidelined.
If the ball is in China's court on cutting oil, it may demand more willingness from the United States to come to the negotiating table with North Korea.
Song spoke about the possibility of nukes in the South as he met with defence chief General James Mattis and White House security adviser HR McMaster. South Korea's presidential office said it will hold a National Security Council meeting chaired by President Moon Jae-in.South Korea's military said it has strengthened its monitoring and readiness while mulling a variety of possible responses that could be executed in collaboration with the US. South Korea's weather agency, however, said no second quake occurred.
During a visit to the country's Nuclear Weapons Institute, North Korean leader Kim Jong Un "watched an H-bomb to be loaded into new ICBM [intercontinental ballistic missile]", KCNA reported.
In a statement Sunday, the ministry urged "immediate dialogue and negotiations".
What does the test tell us?
North Korea claims it successfully tested hydrogen bomb
North Korea commits to freeze and dismantle its military nuclear program in exchange for the construction of civilian reactors. Initially, North Korea seemed to back down from its threat of a nuclear strike in Guam, where many USA military are stationed.
Nuclear weapons so close to North Korea's border would be a game-changer in the increasingly volatile Korean Peninsula.
"I can't help but be disappointed and outraged", he said, adding that North Korea's weapons programme was "threatening world peace" and would only "isolate them further".
The US and its allies attempt to detect blast material to gauge North Korea's progress, but Pyongyang has become better at containing it as its nuclear program has evolved. Experts and outside governments are skeptical of the hydrogen claim, but it is nearly impossible to independently confirm North Korean statements about its highly secret weapons program.
In what could be read as a veiled warning of more nuclear tests, Kim underlined the need for scientists to "dynamically conduct the campaign for successfully concluding the final-stage research and development for perfecting the state nuclear force" and "set forth tasks to be fulfilled in the research into nukes".
Tigers swept by AL Central-leading Cleveland
The Brewers fell 41/2 games behind Chicago in the NL Central, the furthest Milwaukee has been out of first place all season. Unsure whether the ball would make it over the fence, Mikie Mahtook prepared to play the ball if it caromed off the wall.