New Delhi ( CNN ) -- Pakistan 's President Asif Ali Zardari met with the Indian prime minister in New Delhi on Sunday -- the first visit to India by a Pakistani head of state in seven years . Both leaders described their brief meeting as satisfactory , with Zardari extending an invitation to Prime Minister Manmohan Singhfor a reciprocal visit . `` I would be very happy to visit Pakistan on a mutually convenient date , '' Singh said after hosting Zardari at his official residence . Emerging out of their almost 30-minute meeting on Sunday , Singh and Zardari said their talks covered all bilateral issues between their countries . `` I am very satisfied with the outcome of talks , '' Singh remarked as the Pakistani leader stood beside him . He said both nations were willing to find `` practical and pragmatic '' solutions to issues between them . Zardari echoed Singh 's comments , saying their talks were `` fruitful . '' `` We would like to have better relations with India . Hoping to meet ( prime minister Manmohan Singh ) on Pakistani soil very soon , '' he added . Zardari 's India visit came amid thawing relations between the two nuclear-armed nations . After his talks with Singh , the Pakistani leader travels to the shrine of a revered Sufi saint at Ajmer in Rajasthan state . The private tour comes in the wake of Pakistan 's recent promise to grant India `` most favored nation '' trading status . The South Asian neighbors have fought three wars , two of them over the Himalayan territory of Kashmir , since the 1947 partition of the subcontinent into Islamic Pakistan and Hindu-majority , secular India after independence from Britain . Last year , both nations pledged not to let their fragile peace process unravel again over the range of thorny issues that put them at odds . In 2004 , the nations agreed to negotiations that cover eight issues , including Kashmir , terrorism and Pakistan 's concerns over river dams on the Indian side of the border , which it sees as a threat to its water supplies . Since then , successive governments have held talks in an effort to end the historical acrimony . Singh and Zardari hailed results from the dialogue in September 2008 as the countries completed four rounds of diplomatic meetings . But engagements were suspended two months later in November 2008 after the terrorist assault on Mumbai , which left more than 160 people dead . Over the past two years , India and Pakistan have held a series of high-level meetings in their bid to put their peace dialogue back on track , a process considered crucial to regional stability ahead of the withdrawal of U.S. troops from Afghanistan . In 2011 , New Delhi and Islamabad agreed to resume talks . `` It 's a win-win situation when Pakistan and India are engaging in dialogue , are talking to each other , and are building better cooperation , '' Mark Toner , a deputy spokesperson for the U.S. State Department , said Thursday regarding Zardari 's India visit . Observers say the Sunday lunch meeting between the Indian and Pakistani leaders was encouraging . `` The lunch being hosted by the prime minister for a Pakistani president on a private visit is a welcome step , '' said Uday Bhaskar , a strategic analyst .
Singh and Zardari discuss bilateral issues in New Delhi . The two leaders also discussed the situation of refugees from Pakistan who have fled to India over fears for their safety after a series of attacks by militants on security forces across the country. His visit comes amid warming India-Pakistan ties .