The covert meeting between Burns and Taliban co-founder and deputy leader Abdul Ghani Baradar is the highest level in-person discussions between the Biden administration and the Taliban since the militant group took control of the capital, the newspaper noted.
The CIA declined to comment to CNN about the meeting.
CNN has reached out to the White House for comment.
After the Taliban retook control of Kabul, Baradar had returned to Afghanistan last week after having been out of the country for 20 years.
This story is breaking and will be updated.