Shastri, who is out of the country currently, has been asked to help the ED in answering certain questions related to the Twenty20 league as he was on the IPL Governing Council, sources involved in the investigation said.
Shastri has been called to be present at the ED`s office here next week to speed up the probe into the case.
The ED is also probing the role of ex-IPL Commissioner Lalit Modi, who is currently in London, for alleged contraventions of foreign exchange rules.
The ED is investigating into the alleged violations under the Foreign Exchange Management Act (FEMA) against various IPL franchises and foreign exchange and remittance related offences and connected issues concerning both the IPL and the Board of Control for Cricket in India (BCCI).