"Attempts to use unprecedented aggressive sanctions and pressure to intimidate us and make us reverse our course are a huge mistake", said the minister, Kim Yong Jae.
At one point, he warned of "fire and fury like the world has never seen" if North Korea continued its threats. "It would be great if something else could be worked out".
Pressure from Washington has grown since North Korea's sixth and largest nuclear test on Sunday. Trump refused to say during his news conference on Thursday whether he would accept the country as a nuclear-armed state, insisting that he would not state his negotiating parameters publicly.
The American leader declared "now is not the time to talk to North Korea", according to a White House readout, released shortly before Trump's call with Xi.
Mr Putin expressed concern that cutting off oil supplies would hurt regular North Koreans, the official said. "That runs counter to most of his other comments, including a conversation I had with him yesterday".
It would also prohibit North Korea from being part of any joint ventures or cooperative agreements.
"It is not worth giving in to emotions and driving North Korea into a corner". "There are real differences between North Korea and the small group of nations that have these weapons".
"Without political and diplomatic tools, it is very hard to shift the situation" on the Korean peninsula, Putin said. On Monday, Russian Deputy Foreign Minister Sergei Ryabkov said the provocative move "will inevitably raise the question about our reaction, about our military balances". "I would prefer not going the route of the military, but it's something certainly that could happen".
The official spoke more bluntly, telling reporters "it's not the time to negotiate with North Korea. That's plainly clear to us".
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Trump and Turnbull "confirmed that their two countries will intensify joint efforts to denuclearize North Korea". The tests began ratcheting up over the summer, as did Trump's rhetoric against the country.
A senior administration official said the USA was still assessing last weekend's underground explosion but so far noted nothing inconsistent with Pyongyang's claim. But since then he's stepped back from that type of bellicose language.
US Treasury Secretary Steven Mnuchin said he has an executive order ready for Mr Trump to sign that will impose sanctions on any country that trades with Pyongyang if the United Nations does not impose additional sanctions on North Korea.
The US has accused North Korea of "begging for war" and repeatedly urged China to step up pressure against its neighbour.
The United States wants the United Nations Security Council to impose an oil embargo on North Korea, ban its exports of textiles and the hiring of North Korean laborers overseas, and subject leader Kim Jong Un to an asset freeze and travel ban, according to a draft resolution seen by Reuters on Wednesday. We will see whether or not he can do it.
"Our military has never been stronger", Trump said Thursday.
Weapons of mass destruction will not be used to resolve the North Korea issue and the conflict will not expand, Russian president said answering questions by participants in the Eastern Economic Forum.
"Recently, high ranking French politicians startled the people by saying absurd things with regards to the DPRK's (North Korea's) successful detonation of an H-bomb for ICBM (intercontinental ballistic missile)", Ri said in an interview with AFP in Pyongyang on Friday.