Japan then said it was due to "inadequate management" of exports, which Seoul refuted.
Seoul has proposed another round of talks at the meeting.
Tokyo believes Seoul has not cooperated in trying to resolve this bilaterally, or by way of the establishment of an arbitration panel involving a third party.
South Korean officials say the Japanese trade controls are retaliation for local court rulings ordering Japanese firms to pay compensation to former Korean forced laborers.
Nam responded that South Korea was working every day to create an environment where the lawsuits could be dealt with in a way that would be acceptable to both sides and not harm bilateral ties.
Kang also met with U.S. Assistant State Secretary for International Organization Affairs Kevin Moley and relayed Seoul's will to develop a future-oriented relationship with Tokyo and hope to resolve tensions with Japan through diplomacy and dialogue.
"Hold on", Kono said.
Kim Hyun-chong, deputy director of the National Security Office (NSO) of the Blue House, told a press briefing that it was wrong for Japan to continue asserting the South Korean violation of worldwide law. "To bring it up again as though unaware of what we have said is extremely discourteous".
Later, South Korea's foreign ministry rejected Japan's arbitration call as arbitrary and said Japan must remember its wrongs committed during colonial rule and try to heal the wound.
The dispute erupted earlier this month when Tokyo tightened controls on the exports of photoresists and two other chemicals to South Korean companies that use them to produce semiconductors and display screens for smartphones and TVs.
Kim drove the auto, which he borrowed from an acquaintance the previous day, to the scene after leaving his house in the early hours of Friday, the police said.
The 78-year-old man, surnamed Kim, drove up to the building around 3:20 a.m. (1820 GMT Thursday), stopped in front of the gate and set fire to the vehicle while sitting in it, an official at Seoul's Jongno Fire Station said.
Reuters reported that a "Boycott Japan" campaign has taken off across South Korea, with many customers refusing to buy Japanese products and even some businesses refusing to sell them.
Police and fire officials both declined to comment on the man's possible motivations, citing ongoing investigations.
South Korea denied that and responded by suggesting Japan had been lax in abiding by global sanctions against North Korea.
If his self-immolation is found to be directly related to the Japanese curbs, it would the first such action in South Korea since anti-Japanese sentiments flared up over the trade restriction.
South Korean trade official Lee Ho-hyeon said Japan's plan to drop South Korea from its "white list" of countries with minimum trade restrictions would have major implications for global supply chains.
Media reports say he is unconscious.
Setting aside their usual bickering, South Korean liberal and conservative parties on Thursday vowed to cooperate to help the Seoul government prevail in an escalating trade row with Japan.
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