Talks in Doha would follow a week later on February 25, the statement said.
He has expressed cautious hope for a deal before Afghan presidential elections slated for July, but says the Taliban must come to the table with the Kabul government, which the insurgents consider a US puppet.
In January, as he travelled the region building support for the peace process, Khalilzad met Khan in Pakistan -- one of just three countries that recognised the Taliban regime before their ousting by US-led forces in 2001. Pakistan's foreign ministry said in December that President Donald Trump, who is pushing to end the 17-year war in Afghanistan, wrote to Khan seeking Islamabad's support for peace efforts.
Ties between Washington and Islamabad have soured recently.
US officials have repeatedly accusing Pakistan of turning a blind eye to, or even collaborating with, the Afghan Taliban, which launch attacks in
Afghanistan from alleged havens along the border between the two countries.
The White House believes that Pakistan's Inter-Services Intelligence agency and other military bodies have long helped fund and arm the Taliban, and believe a Pakistani crackdown on the militants could be pivotal in deciding the outcome of the war.
Pakistan has long denied the claims, saying thousands of its citizens have been killed in its long struggle with militancy.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)