Detectives with the Special Operations Team from the Tennessee Highway Patrol and La Vergne Police Department responded to the branch, located at 5021 Murfreesboro Road, after an employee discovered the item near the rear of the building just before 4 p.m.
Police closed the bank and evacuated all of the businesses in a 300-foot radius as a precaution.
“According to Chief of Police Mike Walker, the suspicious package was very much out of place sitting next to the mechanical room,” said Kathy Tyson, public information officer for the city of La Vergne.
“However, a test device showed that the package was harmless,” she said.
Authorities completed the test on the item at about 6 p.m.
Once it was determined the package was not a safety threat, employees of the adjacent businesses were allowed to return to normal operations and police bagged the item into evidence.
Police have not publicly said what was inside the mesh-like material, which resembled a pillow or sleeping bag, and it is still unknown how the item wound up outside of the branch.