A 38-year-old man was taken to the Royal Infirmary of Edinburgh where he remains in a serious condition.
Police Scotland said its inquiries suggest two men, dressed all in black and wearing balaclavas, were seen in the area at the time.
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They were later seen getting into a white car, which travelled west along Lower Bathville.
Detective Sergeant Keith Sinclair said: “Our inquiries to establish the full circumstances of this incident are ongoing, and we are asking anyone with information that may assist to come forward.
“Similarly, if you have CCTV, ring doorbell or dash-cam footage, please review it and share anything that might assist us.”
Anyone with information is asked to contact Police Scotland on 101, quoting incident 2706 of Saturday, January 4.
Alternatively, information can be passed to Crimestoppers anonymously by calling 0800 555 111.