The U.S. has "other means of communication" open to North Korea if the country wants to express to the U.S. a desire to talk, Tillerson said, but didn't offer specifics.
Tillerson is meeting with South Korean Foreign Minister Kang Kyung-wha in the Philippines on the sidelines of a regional summit.
It also added that the Council's labeling of DPRK activity as a threat to worldwide peace and security was "an illegal act of abusing the authority (sic)".
"But in order to protect the global non-proliferation system and regional peace and stability, China will as before fully and strictly properly implement the entire contents of the relevant resolution". "Some ministers reiterated their support for the complete, verifiable, and irreversible denuclearization of the Korean Peninsula in a peaceful manner", it added. Speaking in Chinese, Wang said that Ri "also has the right to share his opinions". "ASEAN stands ready to play a constructive role in contributing to peace and stability in the Korean Peninsula".
North Korea is barred under United Nations resolutions from any use of ballistic missile technology but six sets of United Nations sanctions since Pyongyang's first nuclear test in 2006 have failed to halt its drive for what it insists are defensive weapons.
"The United States is taking - and will continue to take - prudent defensive measures to protect ourselves and our allies", she told the council.
Chinese Foreign Minister Wang Yi, meeting with North Korea's top diplomat during the ASEAN foreign ministers meeting in Manila on August 5, urged Pyongyang to "maintain calm" in the aftermath of the United Nations vote.
"Very happy and impressed with 15-0 United Nations vote on North Korea sanctions", he wrote.
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A similar statement from last year's ASEAN Regional Forum simply noted "shared concern" over North Korea. The problems brewing in the Korean Peninsula continue to be a matter of worldwide interest, Cayetano said in a news conference. The regime threatened "strategic" and "physical" actions against the USA, which spearheaded the sanctions. Malaysia, however, downgraded bilateral ties in February following the assassination on Malaysian soil of the half-brother of North Korean dictator Kim Jong Un.
Foreign Minister AH Mahmood Ali attended the annual ministerial meeting on Monday and reflected Bangladesh's commitment to those issues, the foreign ministry said.
Ahead of the meetings, outspoken Philippine President Rodrigo Duterte branded Kim Jong Un as "crazy" for "playing with unsafe toys" that endangered the entire region.
Southeast Asian countries are "not happy" with North Korea's missile tests, Cambodia's foreign minister said on Wednesday, calling them a threat to regional security.
It claimed the sanctions were caused by a "heinous U.S. plot to isolate and stifle" North Korea and said the country will take "action of justice", but did not elaborate. Beijing praised Tillerson for declaring the USA wasn't seeking regime change in North Korea. South Korea is hoping these will ease tensions along the border.
"We will be monitoring that carefully and certainly having conversations with any and all that we see who may not be fully embracing not just the spirit of those sanctions but the operational execution of those sanctions", Tillerson said.
"(The ARF) was a venue where North Korea could keenly feel how isolated its diplomatic position is.