The victim of Thursday’s murder in Thornliebank has been named as Anthony Ferns (33), who was mortally wounded in a savage attack in Crebar Street at around 10pm.
Detectives are combing the area for clues, and have urged anyone with any information to get in touch as a matter of urgency.
Mr Ferns had been sitting in a blue Audi A3 at its junction with Roukenburn Street when the killer struck.
He managed to drive the short distance to his home address in Roukenburn Street, but emergency services personnel arriving soon after found him dead at the scene.
A post mortem examination will establish the exact cause of death.
The suspect, seen running from the scene, is white, aged 20 to 30, and between 5ft 8ins and 6ft tall.
He was wearing a dark-coloured tracksuit and possibly a light-coloured baseball cap.
The victim’s relatives have been informed, and a full report will be sent to the Procurator Fiscal.
Detective Chief Inspector Grant Macleod of the Major Investigation Team (West) said: “Extensive police inquiries are ongoing in the area of Crebar Street and Roukenburn Street at this time.
“Officers are carrying out house to house enquiries and gathering CCTV footage from the local area to provide more information that will help us trace the man responsible for this vicious attack.
“The team of officers are also working to establish a motive for this crime.
“They are currently piecing together the victim’s last known movements to find out as much information as possible on the circumstances surrounding this death.
“Understandably Mr Fern’s family are extremely upset and have been left devastated by this murder.
“We have specially trained officers providing support to the family and they are keeping them updated on this investigation”.
He added: “I completely understand that the local community will be concerned by this incident.
“I would like to stress that everything is being done to catch the person responsible as quickly as possible.
“Extra police patrols are in the area and members of the public are encouraged to speak to a police officer if they have any concerns”.
“I would urge anyone with information on this murder to contact us as soon as possible.
“Any witnesses, or anyone who holds any information, no matter how insignificant it may seem, should contact us through 101 quoting reference number 4732 of April 18, 2019.
“If anyone who was driving in that area has dash-cam footage then I would ask them to contact us too.
“Alternatively Crimestoppers can be contacted on 0800 555 111, where anonymity can be maintained”.