CID is also probing whether there was a "larger conspiracy" to eliminate rationalist and progressive thinkers.
"We are no more in possession of the case. It has been handed over to the CID yesterday. CID has begun investigation," Hubbali-Dharwad Police Commissioner Pandurang Rane told PTI here.
The Karnataka government had decided to hand over the case to CBI, but CID will investigate into the incident till it is taken over by the central agency.
When contacted, Rajappa declined to throw much light on the investigation saying, "I am busy with investigation."
Rane said Maharashtra police had visited Dharwad on August 31 to exchange data and sketches of suspected murderers of anti-superstition activist Narendra Dabholkar and veteran Communist leader Govind Pansare at Kolhapur in Maharashtra.
Police sources said that Karnataka police also visited Maharashtra to collect vital clues, if any.
Both Maharashtra police and Karnataka CID team are trying to see if there is any link between Kalburgi's murder and the killings of Dabholkar and Pansare, Rane said.
