Kishida told reporters later in the day he agreed with Biden to meet again at the earliest date possible, which could be later this year, to have more 'thorough' discussions.
He said the Indian Navy has prioritised certain elements in its efforts to play a more constructive and stabilising role in the Indo-Pacific.
China has sharply criticised the trilateral alliance, saying such exclusive grouping has no future and will gravely undermine regional stability and aggravate the arms race.
The US, the UK and Australia have earlier announced a tripartite security alliance that will enhance the development of joint capabilities and technology sharing among others.
High commission of the UK in India aid the deployment represents the UK's commitment to deepening diplomatic, economic and security ties with India and in the Indo-Pacific region.
Rajnath Singh is on a two-day bilateral visit to Japan which ended on Tuesday.
Donald Trump, Narendra Modi discuss Maldives situation, Indo-Pacific region security over phone call
Donald Trump and Prime Minister Narendra Modi have expressed concern about the political situation in Maldives over a phone call, as they also discussed the situation in Afghanistan.
The meeting comes ahead of the ASEAN summit which is also likely to discuss the security challenges facing the Indo-Pacific region and China's military expansion in the South China Sea