A senior CID official said that Deb has been asked to be present at the agency's headquarter in Bhawani Bhawan on Friday.
Deb had allegedly made some objectionable remarks against Banerjee while speaking at a public rally organised by Left students unions in April.
Several complaints had been lodged against Deb for his remark and CID started a probe based on the complaint of a lady lodged at Uttarpara police station.