Police are continuing to question a man and a woman arrested after a police officer was hit by a car as she tried to arrest the driver.
Detectives have until Monday to hold a 41-year-old man arrested in Birmingham on Friday and a 32-year-old woman arrested on the same day in London.
Det Con Catherine Corbett, of Solihull, was critically injured in the incident in Hayes, west London, on Friday.
The 39-year-old is being treated at London's Charing Cross Hospital.
Magistrates granted police extra time to question the pair, who are being held in London, on Saturday night.
Det Con Corbett was trying to arrest a man outside the Sheraton Skyline Hotel, near Heathrow Airport, when he drove off and knocked her over at 0800 GMT.
Police said the officer was hit by the open passenger door as the suspect reversed away from the scene in a blue Peugeot 207.
Fraud inquiry
She suffered serious head injuries and underwent surgery at Charing Cross Hospital's neurological unit on Friday night.
A spokeswoman for West Midlands Police said: "She is now out of surgery and everything went well, but her condition is still critical.
"Our thoughts and prayers are with Cathy and her family and we are anxiously waiting news from the hospital."
A man arrested in Bordesley Green, Birmingham, on Friday, was transferred to a London police station overnight.
A woman was also arrested in connection with the inquiry after she attended a London police station.
Police said as the suspect left the car park the vehicle collided with a black Ford Focus, damaging its front bumper and bonnet.
Two other male officers also suffered minor injuries as they were carried for a short distance on the bonnet of the Peugeot.
The car was later found abandoned in Harlington Road.
Det Con Corbett had been in London for the previous two days as part of a fraud investigation.
Detectives said they had been hunting the suspect for about 12 months.
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