Nuria Sajjad and Selena Lau, both eight, died in the incident at The Study Prep school in Wimbledon, south-west London, in July 2023 while celebrating the last day of the summer term.
In June last year, the Metropolitan Police said she had suffered an epileptic seizure and would face no criminal charges.
On Tuesday, police said the 48-year-old driver had been arrested and was in custody.
Police confirmed on Thursday that she is due to report to a police station in late April.
In a statement to the PA news agency at the time, Ms Freemantle expressed her “deepest sorrow” and said she had “no recollection of what took place” after losing consciousness.
Detective Superintendent Lewis Basford, who is leading the new investigation, said: “I would like to take this opportunity to appeal to any witnesses or individuals with information who are yet to speak to police to please come forward.
“Did you see the vehicle – a distinctive gold Land Rover Defender – in the lead-up to the collision?
“Our main priority is to ensure the lines of inquiry identified by the review are progressed. This is a live investigation and in order to maintain its integrity I can’t go into further detail at this stage. I would urge people to avoid speculation.”
Additional reporting by the Press Association
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