"Mrs. @melindagates and Mr. @BillGates met PM @narendramodi," the Prime Minister's Office tweeted.
Gates met Finance Minister Arun Jaitley in New Delhi on Thursday.
He also attended the inauguration ceremony of the Indian Newborn Action Plan (INAP) by Union Health Minister Dr Harsh Vardhan and commended him for his pioneering work in polio eradication.
"There are lessons to be learnt from India's fight against polio which may be applied against other diseases also," he pointed out.
Bill Gates and Melinda Gates also called on Road Transport and Highways Minister Nitin Gadkari.