Officers were called to Woodside Cemetery in Paisley last Saturday morning.
A woman was found dead within the grounds.
Her death is currently being treated as unexplained and the force confirmed that they are continuing enquiries into the circumstances.
They do not believe there to be any suspicious circumstances.
A Police Scotland spokesperson said: “Around 11.25am on Saturday, December 23, police were called after a woman was found dead within a cemetery on Broomlands Street, Paisley.
“The death is being treated as unexplained but there are not believed to be any suspicious circumstances.
“Enquiries are ongoing and a report will be sent to the Procurator Fiscal.”