A local BJP leader Gopal filed a complaint with Shahinayathgunj Police Station seeking registration of a case against Varma over his series of controversial comments on a social networking site, Station House Officer (SHO) P Sattaiah said.
"We will seek legal opinion before proceeding on the complaint," the police officer said.
Saroornagar police had yesterday booked Varma under Sections 153-A (promoting enmity between different groups on grounds of religion) and other relevant sections of IPC based on a complaint of one practising advocate K Karunasagar.
The director had triggered a controversy on August 29 with a string of tweets about the elephant god.
The 52-year-old producer-director, apart from questioning the ability of Lord Ganesha to remove obstacles from the path of his devotees, made fun of his physical attributes.
As his twitter posts triggered an outrage, Varma took to the micro-blogging website to tender an apology.