As has been reported, someone walking their dog on Corstorphine Hill in Edinburgh on Thursday evening, 6th June, found human remains in a shallow grave there.
Police Scotland do not believe that the remains have been there for a very long time.
They are now using forensic tests and DNA analysis to establish if the remains are those of Suzanne Pilley, who went missing after being caught on camera arriving outside her place of work in the city in the morning of 4th May 2011.
Sniffer dogs had located sites bearing traces of the presence of a body both in the basement of the offices where both Ms Pilley and Mr Gilroy worked and in the boot of her former lover, David Gilroy’s car, which had been the subject of serious cleaning.
Ms Pilley is understood to have been murdered on that day; and her former lover, David Gilroy, was found guilty of her murder on 15 March 2012 and is serving a life sentence for the crime.
Her body has never been found, although erratic behaviour of Mr Gilroy’s on 5th May, in and around Argyll, had led to suspicion that Ms Pilley had been disposed of somewhere here.
It has emerged that the beauty spot on Corstorphine Hill, favoured by walkers and where the remains were found on the evening of 6th June was a favourite of Ms Pilley and Mr Gilroy.
The pair were walking enthusiasts and had camped and walked in parts of Argyll, particularly in the area around Glen Croe.
Ms Pilley’s parents have been informed of the development but as yet there is no confirmation of the identity of the remains, although it is understood to be female.
Update 09.10 10th June: The remains in question have proved to be female but are not those of Suzanne Pilley. Work to try to identify the woman involved is ongoing.