A meeting between Trump and Abe could come on the sidelines of the Group of 7 economic summit in Quebec from June 8 to 9, but it is also possible that Abe will swing by Washington en route to that conference, a Japanese official said.
The White House did not immediately respond to a request for comment.
As South Korean President Moon Jae-in has sought to play the matchmaker between Trump and Kim in the hope of easing tensions on the Korean Peninsula, Abe has been concerned about an outcome that could leave Japan's security interests unresolved. Abe met with Trump at the president's Mar-a-Lago resort last month and urged that he include in the talks with Kim curbs on North Korea's short- and medium-range ballistics missiles, along with its nuclear weapons and intercontinental ballistic missiles.
Abe also has asked Trump to raise the unresolved cases of 12 Japanese nationals abducted by North Korean agents in the 1970s and 1980s. Trump has said he will do so, and Abe emphasized their cases again Monday in a readout of his phone call with Trump.