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Detectives investigating the Milngavie arson attack where Cameron Logan died say that his girlfriend Rebecca Williams remains in a critical condition in hospital.

Radio journalist Rebecca, also known as Bex, was rescued by neighbours from the New Year's Day blaze, which police say was a targeted attack.

They had celebrated Hogmanay with and then returned to Cameron's parents' house in Achray Place before the blaze was started at around 7.25am.

The motive remains a mystery.

Detective Chief Inspector Paul Livingstone, leading the inquiry, said they still haven't been able to speak to Rebecca, but they have spoken with other family members.

He said: "All the members of the family have been very cooperative.

"They're trying to assist us. We've got initial statements from them. Understandably they're shocked and traumatised. They're trying to come to terms with what's happened.

"We will be looking to try to speak to them again in the coming days."

Cameron’s mum Cathy and solicitor dad David were treated after the blaze for the effects of breathing smoke. Police are treating the “horrific and spiteful” attack as murder and attempted murder.

Mr Livingston said that there was no evidence of a fallout or anyone harbouring a grudge at this stage.

He said: "At this time there's no information that anyone had a grudge or a fallout with the family members with anyone else.

"So, again, that's why it's imperative for anyone who knows anything to come forward to hopefully give us a vital bit of information so we can establish why this horrific crime has taken place."

(Image: PA)

Police are looking for three people seen in the vicinity at the time.

A dog walker who is seen on CCTV walking past the CCG building site on Craigton Road at 0810.

Mr Livingston describes the dog walker as wearing a hooded jacket and darker trousers, but can’t tell if it is a man or a woman as their hood is up. They were walking a dark-coloured dog with a long tail.

(Image: Getty Images)

The joggers are described as a man and a woman running together on Craigton Road at the same time. The woman is wearing a bandana, a light top and dark jogging bottoms with dark trainers.

The man has on a hat and a two-tone top with dark bottoms and dark trainers.

Police are also trying to trace the owner of a dark-coloured car seen with its engine running and passenger door open in a layby behind the house around the time of the attack.

Information can be passed to the Major Investigation Team based at Govan Police Office via 101 or alternatively, contact Crimestoppers on 0800 555 111 where information can be given in confidence.