Tillerson landed in Delhi last night after a day-trip to Pakistan, which he called an important US ally.
The visit comes a week after Tillerson made a speech in Washington about the United States wanting to "dramatically deepen" cooperation with India which it sees as a key partner in the face of what he considers to be negative Chinese influence in Asia.
"This visit could not come at a more promising time for the U.S.-India partnership, as we celebrate the 70th anniversary of relations between our two countries and look forward to co-hosting the Global Entrepreneurship Summit in (the Indian city of) Hyderabad next month," Alice G. Wells, a senior U.S. state department official, wrote in a blogpost.
Tillerson, who toured India on several occasions as an oil executive before joining President Donald Trump's government this year, is meeting PM Modi's powerful national security adviser, Ajit Doval, this morning.
He will also see his counterpart, Foreign Minister Sushma Swaraj, before meeting PM Modi.
Defence ties are also growing quickly, though US firms such as Lockheed Martin and Boeing offering to set up production lines in India to win deals worth billions of dollars are seeking stronger assurances they won't have to part with proprietary technology.
Trump told PM Modi during their meeting in June that there was a need for more balance in the U.S.-India trade relationship in keeping with his campaign promise to expand American exports and create more jobs at home. Last year, the US trade deficit with India neared $31 billion.
The Indo-American Chamber of Commerce (IACC) said the recent US outreach to India should be backed by an economic thrust to sustain the upswing in the relationship amid rising Chinese investments in the region, mainly through its massive "Belt and Road" infrastructure project.
"The Chinese investments in the region are peaking and its every strategic move is crafted to realize its agenda to become an economic superpower ...," IACC said in a statement. "India offers a pathway for the U.S. to make its economic presence in the region and to meet the developmental imperatives of the nations in the region."