He and May agreed to continue work on "increasing diplomatic and economic pressure on North Korea".
The Democratic People's Republic of Korea (DPRK) Monday warned that the United States would face a "series of action tougher than it has ever envisaged" if Washington pushes through a new UN resolution imposing extra sanctions on Pyongyang. Russia's exports of crude oil to North Korea are about 40,000 tonnes a year.
A USA official who briefed reporters later Thursday suggested that Trump is merely being careful and has not backed off the demand that North Korea give up its nuclear weapons. The yen strengthened on Lee's remarks.
Tensions are rising after North Korea tested a hydrogen bomb, reportedly five times bigger than the nuclear weapon dropped on Nagasaki during World War II.
THAAD system arrives in Seongju on September 7.
Several U.S. military vehicles, including trucks carrying payloads covered in black sheets that appeared to be launchers, were seen heading toward a former golf course where the system has been installed.
Beijing says the system's powerful radars will be able to monitor flights and missile launches deep inside north-eastern China.
But the measures could founder on opposition from permanent Security Council members Russian Federation and China. The rhetoric has intensified in recent months as the rogue Communist nation has repeatedly conducted bomb tests and missile launches in violation of global agreements, reveals a report in Joseph Farah's G2 Bulletin.
On coming to power in May, Moon opposed the early installation of the shield. The THAAD systems will be deployed on Thursday at a new base in Seongju, 300 kilometers (186 miles) from Seoul.
Russian President Vladimir Putin echoed a similar sentiment Wednesday during a meeting with South Korea's president in Russia. "We'll see what happens", he told reporters as he prepared to board Marine One.
"China has already lodged stern representations with South Korea over this", he said.
The decision to deploy THAAD, created to shoot down short- to medium-range missiles mid-flight, has drawn strong objections from China. It's different from conventional defense missiles, which seek to get close to a target and self-detonate to damage or deflect the threat.
The proposed United States sanctions would also freeze all foreign financial assets of the government and its leader, Kim Jong Un.
At the conclusion of the meeting, Haley said that the USA would circulate a resolution in response to the nuclear test, with plans for a vote on it next week.
The change of tone followed several tweets by the United States president over the summer that warned of "fire and fury" if North Korea continued tests. "If we do use it on North Korea, it will be a very sad day for North Korea".
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