The marked police car pursued the Peugeot 308 after it triggered a "positive hit" on an automatic number plate recognition system, Scotland Yard said.
The force added that the police car had its 'blues and twos' in operation at the time of the incident.
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Ursula Keogh, 11, went missing on Monday around 3.30pm. She was dressed in her school uniform.
"My sincerest apologies to everyone who purchased tickets and were planning to come to the upcoming shows."
His comments at the Defence and Security Forum on Monday came after a £20 billion black hole in the budget for the next decade emerged.