Oshiwara police in the city have registered a case of cheating and rape against him.
The Mumbai Police has issued a look-out notice for Binoy Kodiyeri, the son of a CPM leader from Kerala, in connection with a rape case.
Kodiyeri, 37, the son of Kerala State Secretary of the Communist Party of India (Marxist) K Balakrishnan, has filed an anticipatory bail application before a court in Mumbai.
While the bail plea is expected to be heard on Thursday, a notice asking airport, railway and other authorities to look-out for him was issued Tuesday, a police official said.
A team of the Mumbai Police also visited Kodiyeri's residence in Kerala while looking for him, he said.
A 33-year-old former bar dancer had alleged that Kodiyeri sexually abused her after promising marriage, and she has an eight-year-old son from him.
Oshiwara police in the city have registered a case of cheating and rape against him.