Prime Minister Narendra Modi, right, shakes hand with his Pakistani counterpart Nawaz Sharif before the start of their meeting in New Delhi on May 27, 2014

The Pakistani leader also called on Atal Bihari Vajpayee, who was prime minister when he last visited India in 1999.India and Pakistan have fought three wars since Independence in 1947. Hostilities escalated last year after the killing of Indian soldiers by Pakistani troops and a series of ceasefire violations at the border.