The summons have been sent at the south Delhi guest house where Shah, the Chairman of Democratic Freedom Party of Jammu and Kashmir, has been kept after Delhi police detained him on Saturday.
The Enforcement Directorate arrested Shah over a decade-old money laundering case.
A senior official in the central probe agency said Wani was arrested from Jammu and Kashmir's summer capital Srinagar by the Enforcement Directorate with the help of the state police.
The ED claimed that Shah 'only received donations in cash from locals'.