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Zainab al-Hilli's health is understood to have improved in recent days, allowing her to travel back to the UK.
French prosecutors have told ITV News that the search for a black Mitsubishi Pajero with British number plates is "not connected at all" with the French Alps shootings.
Sky News is reporting that French police investigating the fatal shooting of a British family in the Alps are looking for a black Mitsubishi Pajero with British number plates.
Eyewitnesses told French police that the driver of the car looked "rather nervous", according to the news channel.
Surrey Police has told ITV News that Zainab al-Hilli, the seven-year-old British girl who was wounded in the French Alps shootings in which her parents were killed "is returning to the UK."
She has been in hospital being treated for a fractured skull and gunshot wounds suffered in the massacre.
Surrey Police have said that they had held an "extremely productive" meeting with senior Gendarmerie officers, the Crown Prosecution Service and a French prosecutor and judge leading the investigation into the shootings of four people in the French Alps.
A police guard remained outside the al-Hilli family home in Claygate, Surrey, today as searches at the detached house continued.
This afternoon officers carried out a fingertip search of the drive, front garden and front hedges. Later, an officer was seen drilling holes into an overhanging roof in the porch area of the home.
Brett Martin, a cyclist who found the British family in the French Alps has told BBC News he saw holes in the window of their car and smelt "hot, burning rubber".
Mr Martin said he decided to break the window to turn off the ignition, but was unaware that a four-year-old girl was still in the car.
Brett Martin, the British cyclist who discovered the bodies of the al-Hilli family, who were shot dead in the French Alps, has described to BBC News how he saw a "lot of blood and heads with bullet holes in them".
Latest ITV News reports
Brett Martin, the first witness who found the British family in the Alps has described the moment he came across the attack.
A friend of the al-Hilli family has said he believes he could assist the investigation into the fatal shootings of the three family members.