The Taliban demanded an end to Pakistani military operations in North and South Waziristan tribal districts along with an end to search operations in the merged tribal districts.
Police officials said two gunmen riding a motorcycle opened fire on a security checkpoint near one of the city's busy markets late on Monday.
Afghan Taliban are playing the role of principal mediator between Pakistan and the outlawed militant conglomerate comprising several factions.
The militant group, also known as Tehrik-e-Taliban Pakistan, has been behind numerous attacks on Pakistani security forces and civilians over the last 14 years.
Therefore, the media should call them by the name of Tehreek-i-Taliban Pakistan, Khurasani said.
According to Pakistani interior minister Sheikh Rashid Ahmed, some of the leaders and members of the Pakistani Taliban or Tehreek-e-Taliban Pakistan were freed from Afghan prisons.
The TTP, commonly known as Pakistani Taliban has carried out a number of major terror attacks across Pakistan and reportedly been using Afghan soil to plot terrorist attacks in this country.