The diplomatic sources here said that the demand was made by Pakistan Foreign Minister Hina Rabbani Khar during her meeting with US special envoy to Pakistan and Afghanistan, Mark Grossman, The Express Tribune reported.
Grossman was told that Fazlullah was involved in the attack on Malala Yousafzai and that the US should employ its influence towards the extradition of Fazlullah.
Fazlullah along with his men is hiding in Kunar province of Afghanistan, the Pak-Afghan especial envoy was told.
Pakistan had, on many occasions in the past, informed the ISAF and Afghan authorities about Fazlullah's activities, the paper said.
According to sources, Fazlullah has executed as many as 15 cross border attacks in Pakistan over the past one year. These attacks targeted Pakistani security check posts and also its villages.
Yousafzai, 15, was shot in the head by a Taliban gunman in Khyber Pakhtunkhwa province on October 9. She is undergoing treatment at the Queen Elizabeth Hospital in Birmingham, UK.
Last week, Interior Minister Rehman Malik had announced a USD one million bounty on Fazlullah, the leader of Tehrik-e-Taliban.