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.
More top news
Monica O'Connor and at least two other people were killed in the incident, and a British man remains missing.
Lively downpours across the south, Wales and Northern Ireland today - slow moving and intense with hail and thunder.
"The council's inspector judged there was an imminent health risk and an immediate voluntary closure of the takeaway was agreed."