Saudi Arabia's King Salman bin Abdulaziz Al Saud shakes hands with U.S. President Donald Trump during a reception ceremony in Riyadh, Saudi Arabia, May 20, 2017.

President Donald Trump, who arrived in Japan on Sunday, said he spoke with the king of Saudi Arabia about listing national oil company Saudi Aramco's shares in New York and that "they will consider using U.S. exchanges."

The remarks were made aboard Air Force One en route to Japan, where Trump kicks off a 12-day Asian trip during which North Korea is expected to top the agenda in meetings with Japanese Prime Minister Shinzo Abe and other leaders.

The president had earlier expressed his desire for Aramco to list on the New York Stock Exchange in a Twitter post.

—CNBC contributed to this report.