Officers tried to pull over a black Mercedes, which was being driven "erratically", an hour before Maynard's body was found on the tracks.
At approx 4.15am on Monday, 18 June, officers stopped a vehicle after it was seen being driven erratically in Arthur Road, SW19.
The male driver of the vehicle - a black Mercedes C250 - made off on foot.
Officers were unable to locate the man.
At approx 5.10am the body of a man fitting the same description was found on tracks near Wimbledon Park station.
The force added that it was still trying to identify the man found on the tracks and that the Directorate of Professional Standards and the Independent Police Complaints Commission have been informed.
More top news
Police have arrested a man wanted in connection with a burglary at the home of pensioner Richard Osborn-Brooks.
The rally comes after it emerged that the Home Office destroyed thousands of landing cards documenting the arrival of windrush-era migrants
All the info you need to watch and get around London.