Both leaders are under pressure to deliver something more than bonhomie and birdies.
On the economic front, the Japanese prime minister is planning to impress upon the USA president the significance of multilateral free trade as Trump has pushed for bilateral trade agreements.
China demonstrated its significant influence over its reclusive ally when Xi hosted the North's leader Kim Jong-un and his wife in Beijing last month. And worse, it was announced by a South Korean official.
The two ministers agreed on the importance of arranging respective visits by Abe to China and Chinese President Xi Jinping to Japan.
Abe will attempt to use the personal rapport he has established with the United States president over the past 18 months to remind Trump that any deal over North Korea's nuclear program must take into account Tokyo's concerns about the missile threat from Pyongyang.
Following Washington's withdrawal, the remaining 11 members, led by Japan, succeeded in signing a revised version in March.
The Chinese foreign ministry said on Monday that "China wants to stick to the "right path" of bilateral ties with India, explore new areas for cooperation and ensure sound and steady development of the relationship", according to First Post of India.
Abe is due to arrive at Trump's Mar-a-Lago retreat in Palm Beach, Florida, for two days of talks dominated by North Korea but also expected to cover trade, relations with China and other issues.
Japan's also interested in pushing back on trade with the USA, particularly the Trump administration's harsh, new steel tariffs.