The defeats in the Sunday polls come after Japan's Olympics minister, Yoshitaka Sakurada, resigned a year before the Tokyo Games for remarks that offended people affected by the massive earthquake and tsunami.
Abe visited Okuma, one of two towns that house the plant, where an evacuation order was partially lifted earlier this month. The government has been carrying out decontamination efforts to lower radiation levels in the region.
Trump has made clear he prefers a bilateral deal to cut a U.S. trade deficit with Japan that hit $5.64 billion last month. However, Abe's administration insists multilateral pacts are still the best bet.
Suh was in Tokyo to brief Japanese officials on developments. He was part of a South Korean delegation that met Kim in Pyongyang last week. Another senior member of the delegation has briefed Chinese officials in Beijing.
Prime Minister Shinzo Abe said at an official ceremony in Tokyo that reconstruction is making steady progress, but more than 70,000 people are still displaced and many have no prospect of returning to their homes
Prime Minister Narendra Modi on Monday held a series of meetings with top Japanese leaders, including Foreign Minister Taro Kono and held productive, focused discussions on bilateral, regional and global issues