The discovery was made near Arrochar in Argyll and Bute on Thursday.
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 body of the 38-year old from Edinburgh has never been found.