The US reaction comes in the backdrop of a series of ceasefire violations by the Pakistan Army along the Line of Control in Jammu and Kashmir.
"I think we can encourage them to have dialogue and to resolve the dispute. But we don't have to do that necessarily with an envoy. I think our ambassadors are very engaged on the ground on this," State Department spokesperson Marie Harf said in response to a question on whether the US would appoint a special envoy, as in the Middle East peace process, to help India and Pakistan resolve the Kashmir issue.
"We are concerned about any violence along the Line of Control. We understand that the governments of India and Pakistan are in contact over these issues. We will continue to encourage further dialogue," she said.
"Our ambassadors in both India and Pakistan have raised these recent incidents with their respective host governments and conveyed our hope that India and Pakistan will continue the steps they have recently taken to improve their bilateral relationship," Harf added.
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The US policy on Kashmir has not changed, she said.
"We still believe that the pace, scope, and character of India and Pakistan's dialogue on Kashmir is for those two countries to determine with each other," Harf said.
"We'll engage when we think it's appropriate, as our ambassadors are doing," she added.