Sources in the CBI said he was called earlier also in June but he had sought more time to appear before the agency.
The CBI has now asked him to be present for questioning on July 21, the sources said.
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The CBI has alleged that a firm "indirectly controlled" by him received money from INX Media, run by Indrani and Peter Mukerjea.
P Chidamabaram had issued a strong statement in response to the FIR, saying that the government was using the CBI and other agencies to target his son.
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