In his book, W Burns included this anecdote, which I had never heard:

Pakistan remained a neuralgic topic; despite the president’s best efforts with Singh, and my own quiet conversations with Shivshankar Menon, the prime minister’s national security advisor, the Indians had no interest in opening up much with us about their relations with the Pakistanis. Active back-channel talks between them had nearly brought about a breakthrough over Kashmir and other disputes in the spring of 2007, but the collapsing political position of Pakistani president Pervez Musharraf had brought them to an abrupt halt, and they had made no more than fitful progress since then. We were increasingly worried about the risks of nuclear confrontation, but the Indians were not much interested in talking about their perceptions or how to avoid escalation, let alone any American mediation role.