Burns, who arrived last night on his first visit as Deputy Secretary of State, met with Prime Minister Nawaz Sharif, Army chief Gen Raheel Sharif, Interior Minister Chaudhry Nisar Ali Khan, Advisor to Prime Minister on Foreign Affairs Sartaj Aziz and special assistant to the Prime Minister Tariq Fatemi.
"Burns conveyed the message of the United States to top Pakistani civil and military officials during the meetings, asking for the destruction of terrorist sanctuaries located in North Waziristan," Dawn News quoted sources as saying.
There was no official word on any such discussion.
A short statement from the Prime Minister's Office said: "Bilateral and regional issues were discussed in the meeting."
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About the meeting with Gen Raheel, the Pakistani military statement said, "During the meeting, matters of mutual interest including regional security situation came under discussion."
However, Dawn reported that Burns discussed security along the Pak-Afghan border and "shared more information about terrorist sanctuaries, calling for possible strikes against them".
He outlined Pakistan's concerns over the situation in the post-2014 scenario, the Interior Ministry said in a statement.
Khan said a stable and peaceful Afghanistan is in the best interest of the international community particularly of Pakistan.