Dhavalikar had recently stoked a controversy by saying that "wearing bikinis should be banned on Goa's beaches."
Later, Goa Chief Minister Manohar Parrikar had ruled out banning wearing of the swimwear on the state's beaches.
An FIR was filed on Monday under sections 66(B) and 67 of the Information Technology Act, following a complaint by a local man, Pradeep Bakhle against Goa born Savio Almeida, Ponda Deputy Superintendent of Police Dinraj Govekar said today.
According to police, Almeida recently posted a morphed picture of Dhavalikar showing him in the bikini on Facebook.
"The FIR has been filed under Information Technology Act after we received the complaint. The case has been forwarded to seniors who will take call on it. They might hand it over to cyber crime cell," Govekar said.