The driver of the train was among those who died. A further 71 people were injured.
The train was travelling from London to Plymouth when the collision happened at around 6.15pm on Saturday.
Police have brought in lifting gear to remove around 300 tonnes of wreckage from the track, which will probably begin on Tuesday.
The level crossing was not manned.
It has emerged that an off-duty policeman saw the car on the track and attempted to raise the alarm.