The J Paul Getty Museum in Los Angeles has agreed to return a pair of disputed ancient sculptures to Greece following renewed calls for their restitution.
The gravestone (left) depicts a warrior with spear, shield and sword
The artefacts in question are a 6th Century BC relief from the island of Thassos and a 4th Century BC tombstone from the ancient city of Thebes.
Negotiations continue over the return of two more antiques, said Greek culture minister Giorgos Voulgarakis.
Greece has offered a long-term loan of antiquities to the Getty in return.
In a statement, the museum said it had reached its decision after "a thorough internal investigation... which concluded it would be right to return the works".
The contested items, which include a marble torso and a gold funerary wreath, were bought by the museum for $5.2m (£2.8m) in 1993.
The Getty is currently involved in another dispute over items allegedly trafficked from Italy.
Its former curator Marion True has denied criminal charges of conspiracy to receive stolen goods and illegal receipt of archaeological artefacts.