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7 January 2017, 06:30 | Updated: 7 January 2017, 10:35
Detectives investigating a deliberate house fire want to trace a man in Army clothing walking on the West Highland Way around the time of the fatal blaze.
Cameron Logan, 23, was killed in the fire at his family home on Achray Place, Milngavie, East Dunbartonshire, in the early hours of New Year's Day.
His girlfriend is now in a critical condition in hospital after being injured in the blaze.
Police have issued various witness appeals and said a number of people have come forward with information, including individuals who believe they may be the dog walkers sought in earlier appeals.
But officers said they still want to speak to anyone else who may have information.
In particular, they are seeking a man in Army combat clothing reported to have been walking on the West Highland Way on the morning of the fire.
It is believed he routinely walks from Maryhill to the West Highland Way at Craigton Road, often passing through the Milngavie area, and officers believe he may have information which could help the ongoing probe.
Police, who were called to the fire at 7.25am on January 1, are treating the case as one of murder and attempted murder.
The fire also resulted in Mr Logan's parents being treated for smoke inhalation and caused the death of the family dog.
His girlfriend was taken to the Queen Elizabeth University Hospital in Glasgow, initially in a critical condition.
A spokesman for NHS Greater Glasgow said on Friday: "Her condition remains serious but stable.''
Her father has said she is "fighting hard'' in hospital.
He thanked well-wishers for their support in a response on Facebook.
He said: "Thanks for all the thoughts and wishes. No real change yet but I will try to put up news when I can. She's fighting hard.''
The couple had been celebrating Hogmanay and walked home in the early hours of the morning.
Detectives say the fire had been set deliberately, resulting in the death of psychology student Mr Logan.
Since then, officers have also been carrying out door-to-door inquires, checking CCTV footage and interviewing people from the party the couple attended.
Officers were seen searching woodland and waterways near the semi-detached property on Friday.
Detective Chief Inspector Paul Livingstone, of the Major Investigation Teams at Govan, thanked those who have already come forward with information.
He said: "We continue to seek information on the dark-coloured car that reportedly had its engine running at the lay-by on Craigton Road and we would continue to ask anyone with information to come forward.''
Mr Livingstone said police are doing all they can to trace those responsible for the "despicable'' crime.
He added: "A number of local residents have now come forward with the belief that they may have been the dog walkers previously described. We do know that there were a number of individuals walking dogs around the time of the incident, so please continue to contact us if you believe you have information which may help our inquiry.''