A petition filed by one Shahid Orakzai questioned the "relegation" of a Muslim chief justice and the appointment of a non-Muslim judge to the post.
A Pakistani journalist has petitioned the Supreme Court to bar the civilian government and the military from making any contacts or conducting negotiations with the Taliban, saying such an act is forbidden by the Constitution.
Dreaded Islamic State militant group has appointed a breakaway Taliban commander as its chief in Khurasan, a historic name used by militants for an area covering Afghanistan, Pakistan and parts of India.
Khan's spokesman Dr Shehbaz Gill said that the prime minister has just a slight fever and cough.
Tehreek-i-Taliban Pakistan's six top commanders on Tuesday pledged allegiance to the Islamic State leader Abu Bakr al-Baghdadi, who has been vying for supremacy with Al Qaeda chief Ayman al-Zawahiri.