NEW DELHI  - President Asif Ali Zardari will on Sunday become the first Pakistani head of state since 2005 to visit arch-rival India when he makes a trip that includes lunch with Prime Minister Manmohan Singh.During what officials from both sides describe as a ‘private’ one-day visit, Zardari will be the guest of the Indian premier in New Delhi before heading to Ajmer to offer prayers at shrine.The trip, which was confirmed this week after leaks in the press, has received a cautious welcome from analysts who say it reflects some improvement in ties since the 2008 Mumbai attacks. But they warned little progress could be expected on sensitive topics such as the disputed region of Kashmir and other issues that make the cross-border relationship one of the most dangerous in the world. “Zardari expressed a desire to visit India primarily to pray at a shrine, and it is only correct that we welcome him to the capital,” G Parthasarathy, a retired Indian diplomat and former high commissioner to Pakistan, told AFP.“There will be talks and I expect the prime minister to raise issues such as our concerns over terrorism. Relations were rock bottom in 2008 so they have improved.”India and Pakistan have fought three wars since independence from British rule in 1947 and also carried out tit-for-tat nuclear tests in 1998.The two countries came to the brink of conflict most recently in 2001, and tensions again peaked after the Mumbai attacks during which 166 people were died. Zardari’s visit comes shortly after the United States issued a $10 million bounty for Hafiz Mohammad Saeed, the founder of LeT.Brahma Chellaney, an analyst at New Delhi’s Centre for Policy Research, said of the visit: “This is a largely symbolic occasion and contentious subjects will be avoided.” Chellaney said Zardari wielded little real power in the country. “You can’t have substantive talks with someone who doesn’t run anything,” he told AFP. Trade is one area of discussion that the two leaders may find fruitful as Pakistan moves to normalise trade ties by phasing out major restrictions on Indian imports by the end of the year.Sources in Islamabad said that among the 40 members of Zardari’s family and staff expected to accompany him on the trip will be Interior Minister Rehman Malik, potentially undermining its ‘private’ status.The last Pakistan president to visit India was Pervez Musharraf, who also offered prayers at the shrine of Sufi saint Moinuddin Chishti in Ajmer, 350 kilometres southwest of Delhi.The shrine is one of South Asia’s most popular religious sites, attracting throngs of devotees from across the globe.“Zardari could just go to Ajmer and back home, so meeting Manmohan Singh makes it significant even though it’s not official,” Political analyst Hasan Askari told AFP.“This means that relations are in a better state, otherwise the prime minister could ignore the visit.”