"He has been admitted for examination and management. He is stable," according to a statement issued by the premier hospital.
Modi enquired about the well-being of Vajpayee and met his family members, official sources said.
A BJP statement said that the leader was admitted for routine check-up and investigations on doctors' advice.
The BJP stalwart was the prime minister between 1998 and 2004.
As his health deteriorated, he slowly withdrew from public life and has been confined to his residence for many years.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)