NEW DELHI — The Indian police are investigating allegations that a Saudi diplomat imprisoned and repeatedly raped two Nepali maids who worked in his home. The Saudi Embassy has denied the allegations.

As a diplomat, the Saudi man, who has not been identified publicly, has immunity from criminal prosecution, but may be expelled if the Indian government finds the allegations substantiated. Navdeep Singh Virk, the top police official in Gurgaon, where the diplomat lives, said Wednesday that the police had delivered a report on their investigation to the Ministry of External Affairs.

The case brings together two issues that have drawn wide public attention in recent years: the problems that India’s police have had in dealing with rape, and the mistreatment of domestic workers in many parts of Asia and the Middle East.

Acting on a tip from an advocacy group, the Indian police removed the two women from the diplomat’s apartment on Monday. In a statement on Wednesday, the police said an investigation of rape and illegal confinement had been opened based on what the women told them, that “they were beaten up, raped, abused and threatened by the family and their guests.” Rajesh Kumar, a police official, said the women, who have not been publicly identified, were 50 and 25 years old.