US President Barack Obama said that the United States could not impose a solution on Kashmir or other issues in the volatile India-Pakistan relationship. "I believe both Pakistan and India have an interest in reducing tensions between the two countries," Obama said when asked about the Kashmir dispute at a press conference after he met Indian Prime Minister Manmohan Singh. But he added: "The United States cannot impose a solution on these problems." In response to a question at a press conference here, Obama said the Indian leader had both privately and publicly spoken about his desire and commitment to reduce tensions between India and Pakistan. "Prime Minister (Manmohan) Singh is sincere and relentless in his desire for peace," Obama said. "So my hope is both sides can over the next several months, several years, find a mechanism to work out (a solution to) one of this very difficult issues." Obama made the observation after saying that the US was ready to play "any role" to help India and Pakistan reduce their tensions over Kashmir if they so desired. While Prime Minister Manmohan Singh made it clear that a full-scale dialogue with Pakistan on the Kashmir issue would not be possible until Pakistan stopped the export of terror to India. At a joint news conference with US President Barrack Obama, Singh said that India was committed to resolving Kashmir issue. "We are not afraid of the K-word. But Pakistan must first stop the terror machine." India and the US have decided to start a new homeland security dialogue to deepen their cooperation, Prime Minister Manmohan Singh said Monday. Manmohan Singh said that he had conveyed to US President Barack Obama India's gratitude for the help the US provided in counter-terrorism measures post the Mumbai terror attack of 2008. "We had a detailed discussion ... (on) East Asia, Pakistan, Afghanistan and West Asia. We have a shared vision of security and prosperity in Asia based on an open and inclusive regional architecture." He added that the countries also had a common vision of a world without nuclear weapons and would lead efforts in this direction. "This is a historic and bold bilateral initiative." President Barack Obama said the $10-billion trade agreements signed in Mumbai were a step forward in elevating India as a top trading partner of the US. Mumbai trade deals is a step forward for elevating India as the top trading partner of the US," Obama said Earlier in the morning, the US President said he has undertaken the trip to India to strengthen what is already an incredible friendship that would be one of the defining partnerships of the 21st Century, to build on commercial ties and strengthen cooperation in bilateral relations and international economy. "Given that India is not simply an emerging power but now it is a world power, US and India can work together to promote international principles, rules, relations between nations they can promote peace, stability, prosperity not only for just two nations but for the whole world," he added.