"Rakhi is with the police. She has surrendered," her spokesperson, Parul Chawla, told news agency IANS. She said she had discussed this with the actor on WhatsApp.
But Dharuman Nimbale, a senior police officer in Ludhiana, said a police team which travelled to Mumbai to execute an arrest warrant was returning because she was not at the given address.
He said the Ludhiana police will seek fresh directions from the judge that ordered Ms Sawant, who is 38, to be arrested and brought to court.
The arrest warrant was issued after the actor failed to show up in the court on March 9 in a case that accuses her of hurting religious sentiments by making offensive remarks against sage Valmiki, the author of the Ramayana which chronicles the life of Lord Rama. Ms Sawant is best known for reality TV shows like Bigg Boss and Rakhi Ka Swayamwar. She has also acted in many Bollywood films but it is outrageous comments have often drawn more attention.
The case in Ludhiana will be next heard on April 10.