Metropolitan Magistrate Chetna Singh directed that video footage of the incident in south Delhi last week be shown to the foreign nationals for identification.
The FIR will be filed against those identified by the foreign nationals, the magistrate told PTI.
Television footage on news channels had shown Bharti asking police officers to conduct the raid, saying he had received complaints of drugs and prostitution racket in that area.
Rakesh Sherawat, lawyer for the women, said the minister and his associates were involved in the incident. He said the women can identify the persons through video footage and newspaper clippings.
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The court has ordered the registration of FIR against the persons under sections 451 (house trespass), 427 (mischief), 506 (punishment for criminal intimidation) of IPC.
The women - two Nigerians and two Ugandans - had approached the court yesterday with the application seeking registration of FIR before Chief Metropolitan Magistrate Vivek Golia, who refused to accept the application and directed them to approach the police for the same.