Police in the Capital are appealing for witnesses to the incident which is though to have happened shortly before 12.15am on Wednesday on Ferniehill Road.
The 40-year-old man was riding an electric scooter and enquiries are ongoing to establish how he sustained his injuries, which are not said to be life threatening.
He was found by a passer by who contacted the emergency services. He was then taken to hospital.
Police Constable James Lamb from Police Scotland’s Road Policing Unit based in Edinburgh said: “First and foremost we are seeking to understand how the man became injured. He suffered a head injury and was found in the eastbound lane of Ferniehill Road, just off Gilmerton Road, near to the junction with Ferniehill Avenue.
“I would ask anyone in the Moredun and Gilmerton areas who may have seen a man riding an e-scooter late last night, or any properties who may have private CCTV covering the area, to check their systems to see if this can help our enquiries.
“Similarly any drivers in the area who may have seen the rider prior to him being found injured, and especially if recording with dash cam, should provide any relevant information or footage to officers as soon as possible.”
Those with information should contact Police Scotland on 101 and quote incident number 0019 of February 3.
An anonymous report can be given to Crimestoppers on 0800 555 111.