Police told the Italian news agency ANSA Tuesday one bomb was painted with anarchist symbols and the message "set fire to the banks."
One was located outside a branch of the nation's largest bank, Unicredit, located inside Italy's highest court of appeals, the Cassation Court. A branch employee put it out, ANSA said.
Another, consisting of a number of gasoline-filled canisters with electrical cables attached, was found near an unidentified bank in the town of Genzano, a small town about 18 miles outside Rome.
The location of the third bomb, also found in Rome, wasn't reported.
No arrests had been made and there were no injuries, ANSA said.