Joseph has been on the run since June 8 after media reports regarding the incident emerged.
The woman accused Martin of threatening her and assaulting her physically.
The police have registered a case against Imtiaz Ahmed, the owner of the flat, in connection with the incident. He has been charged for illegal detention of Kumari.
Kumari, of Salem in Tamil Nadu, has been admitted to a private hospital with grievous head injuries. She is on ventilator support.