"He briefed Foreign Minister Qureshi on his recent engagements in the region for Afghan peace and reconciliation process", Faisal said.
The Afghan peace initiative has been moving at a snail's pace due to refusal of the Taliban to sit for talks with the Afghan government officials.
The Taliban issued a statement Tuesday threatening to end contact with the US even as Washington's peace envoy makes another round of the region in pursuit of a negotiated end to Afghanistan's protracted conflict before a frustrated President Donald Trump makes good on his 2016 campaign promise to end America's involvement.
The U.S. special envoy for peace in Afghanistan on Wednesday said talks with the Taliban will "happen very soon" but if the insurgents continue to fight then American forces would support Afghan forces in the war.
Afghan President Ashraf Ghani on Thursday telephoned Prime Minister Imran Khan to discuss the ongoing global efforts for peace and reconciliation in Afghanistan.
Mr Khalilzad lauded Pakistan's efforts in facilitating direct talks between Taliban and the United States in Abu Dhabi last month.
Rahimullah Yusufzai, a Peshawar-based expert on Afghan affairs reckons that pressure on Taliban - both from the US and Islamabad - is mounting which may force them to hold at least "symbolic" talks with the Afghan government.
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There were also reports that Pakistan is pushing for a meeting between the Afghan Taliban and the United States special envoy in Islamabad.
Islamabad says its influence on the Taliban is overstated but it will do whatever is possible for peace amid speculations that efforts were underway to arrange another meeting between Khalilzad and the Taliban in Pakistan.
"After his arrest, Pakistani authorities started raids on many other houses of the Taliban movement, their friends and commanders in different places in Pakistan", said one senior Taliban leader, who spoke on condition of anonymity.
He has already visited China and Afghanistan.
Baradar was deputy to the late Taliban supreme leader Mullah Muhammad Omar. It sent two former diplomats in "non official" capacity to a conference on Afghan peace process in Moscow in November which was attended by a high-level Taliban delegation. "The first priority for peace is for Afghanistan and Pakistan to settle their historical differences", he told Arab News.
On his previous visits to the region, Khalilzad held talks with the Taliban in their Mideast headquarters in Qatar.
"Pakistan will continue to support and facilitate Afghan peace process in good faith and as part of a shared responsibility", he said.