US President

Donald Trump

praised his strong relationship with Japanese Prime Minister

Sanae Takaichi

in New York on Tuesday, days before he is due to meet with Chinese President

Xi Jinping

.

Both leaders hailed their good working relationship, with Takaichi saying the two countries looked forward to deepening ties.

Trump lavished praise on the Japanese leader, saying she had “done a tremendous job” and was “going to go down in history”.