The questioning was about alleged irregularities in the Queen Batons Relay held in London last year besides certain contracts awarded to various firms totalling several hundred crores, the sources said.
The agency had raided Kalmadis Pune and Delhi premises on December 24, during which several documents were seized.
Three of Kalmadis key aides Manoj Bhori, political advisor to the OC head, and his assistants P K Srivastava and A K Sinha were also called for interrogation.
In connection with the CWG scam, the CBI had also conducted raids at the residences of OC secretary general Lalit Bhanot, R K Sacheti, who is joint director general of the OC, and Sangeeta Welingkar, member of the Games Image and Look Group.
The agency has so far filed three FIRs in connection with the alleged financial irregularities. While one case is related to a Rs 107-crore deal struck with a Swiss score-keeping firm, the CBI had registered two other FIRs in connection with the contract given to AM Films for the Baton Relay ceremonies by the OC in London.