NEW DELHI — Indian police questioned an Uber executive Tuesday about the company’s claim it conducts comprehensive background checks and a top official called for the taxi-booking service to be banned nationwide after one of its New Delhi drivers was accused of rape.

New Delhi police official Brijendra Kumar Yadav said there is a possibility of criminal charges against the company if police find evidence the taxi-hailing app misrepresented the safety of its service.

The driver, 32-year-old Shiv Kumar Yadav, is being held by police and will appear again in a New Delhi court on Thursday. A 26-year-old woman who hired Yadav for a ride home from a dinner engagement Friday night accused him of rape.

“What we are doing is trying to ascertain what knowledge Uber had of this person,” said the police official Yadav, who is unrelated to the suspect. Police had questioned Uber’s general manager in India, Gagan Bhatia, for a second day about the company’s operations. They were also investigating whether the driver may have presented false documents to Uber, according to Press Trust of India.

The case, almost two years after a young woman was fatally gang raped on a bus in the capital, has renewed national anger over sexual violence in India and demands for more effort to ensure women’s safety. It is also a blow for Uber, which has attracted praise and controversy around the world with a service based on hailing taxis from a smartphone app.

India’s home minister called for all Indian states and territories to ban Uber following a ban on the service in New Delhi on Monday.

Uber has faced restrictions in other countries after licensed taxi operators claimed the service was competing unfairly.