Amari is on an official five-day visit to India which began against the backdrop of talks on a free trade agreement in the Indian capital last week that ended with big differences.
The investments are expected to happen in the Delhi-Mumbai Industrial corridor.
A joint statement issued at the end of an India-Japan energy dialogue said both the countries would explore ways and means to further cooperation in the field of new and renewable energy sources.
Indian corporate giants, Reliance Industries and Tatas are looking at the option of raising finances through the Japanese Depository Receipts route, a top Japanese minister said in Mumbai on Wednesday.
Japan's economy unexpectedly slipped into recession in the third quarter, setting the stage for Prime Minister Shinzo Abe to delay an unpopular sales tax hike and call a snap election half-way through his term.
The crisis remains acute with the country's banks already closed.