Greece said that they hope the return of the fragments by the Vatican will lead to the British Museum making a similar gesture in the near future.
About 270 ancient artifacts were found in the search, including gold, silver and bronze coins from different periods.
A man in India collected over 1,200 coins in 45 years - and sold his collection for a quarter of a million dollars.
Shelby White has already relinquished at least two dozen items worth at least $20 million.
Ancient Romans wore engraved gems on rings as seals and as objects of fashion.
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