He studied in a seminary in Faisalabad city in the heartland province of Punjab and recently wrote a book eulogizing the founder of the Pakistani Taliban, Baitullah Mehsud, who was killed in a 2009 drone attack.
Taliban militants are yet to make comments on the situation.
Foreign Ministry spokesman, Mohammad Faisal, told reporters in Islamabad Friday he was unaware of the drone strike.
According to a January 12, 2018 report, Bajwa said he received a phone call from the head of U.S. Central Command, Gen. Joseph Vogel, offering assurances that the United States would not unilaterally hit targets inside Pakistan.
Sajna was wanted in America for his role in terrorist attacks against USA citizens.
The commander was believed to be sheltering in Khost and had ties to the Haqqani network accused of staging high-profile terrorist attacks against local and US -led forces in Afghanistan. He is believed to be the mastermind of a 2011 attack on a naval base in Karaxhi, as well as a 2012 jailbreak in Bannu.
The spokesman for the Pakistani Taliban has confirmed the death of their deputy leader in a recent USA drone strike in Pakistan's northwestern tribal region.
The talks in Islamabad took place under the APAPPS, a joint action plan for cooperation in the key areas of counter-terrorism and reduction of violence, peace and reconciliation, refugees' repatriation and joint economic development. Pakistan Foreign Secretary Tehmina Janjua headed her government's team.