This is Modi's first meeting with the US president in his second term.
The meeting comes just a day after US Secretary of State Mike Pompeo met PM Modi in Delhi during his three-day India visit.
During the meet, Pompeo conveyed greetings of US president to the prime minister and congratulated PM Modi on his electoral victory, according to a government statement.
Meanwhile, PM Modi reiterated priority that he attaches to relations with the US and outlined his vision for the ''strategic partnership'' in the new tenure of his government and beyond.
PM Modi will also be meeting Thailand Prime Minister Prayut Chan-o-cha, Vietnam Prime Minister Nguyen Xuan Phuc, South Korea President Moon Jae-in, German Chancellor Angela Merkel on the first day of the two-day G20 summit, the sixth he is participating since he became prime minister in 2014.
On Friday, PM Modi will attend two trilateral -- Japan America & India (JAI) and Russia India & China trilateral (RIC). On the same day he will also be present at the informal BRICS Meet.
Watch: What awaits India at the G-20 summit in Japan
The first meeting of JAI trilateral took place in December of 2018 on the sidelines of G20 summit in Argentina. While RIC was revived at heads of state/government level only last year when leaders of all the three countries-- Russian President Vladimir Putin, Chinese President Xi Jinping and PM Modi -- met on the sidelines of G20 summit.
PM Modi arrived in Japan on Thursday morning and in a tweet said, "Reached Osaka to join the #G20 Summit. Grateful to the dynamic Indian community for the warm welcome!"
All in all PM Modi will be having 10 bilateral meetings and more than five pull-asides on the sidelines of G20 summit.
Other than this PM Modi will be meeting Thailand Prime Minister Prayut Chan-o-cha, Vietnam Prime Minister Nguyen Xuan Phuc, South Korea President Moon Jae-in, German Chancellor Angela Merkel on the first day of the two-day G20 summit, the sixth he will be participating since 2014.