UTAH, SALT LAKE COUNTY DEATH RECORDS, 1908-1949 - Link to FREE database and access to online records
The Family Search database includes 855 people who are recorded with Greece as their place of birth.
Record Description from Family Search:
This project was indexed in partnership with the Utah Genealogical Association. The collection consists of an index and images for the years 1849 to 1949. Some records in this collection may be for deaths occurring before 1908 where the remains were re-interred between 1908 and 1949.
Records apparently include both Death Registers and Death Certificates.