The discovery was made near the village of Arrochar in Argyll and Bute yesterday.
Police Scotland said that inquiries are at a very early stage and the remains will undergo further examination.
The force said that there was nothing to suggest the discovery is connected to the death of missing book-keeper Suzanne Pilley, who disappeared in 2010.
David Gilroy was convicted in March 2012 for the murder of Ms Pilley, his former lover and work colleague.
The 38-year-old's body has never been found.