The sculptures – 17 figures and part of a frieze that decorated the 2,500-year-old Parthenon temple on the Acropolis – were taken by Lord Elgin in the early 19th century when he was the British ambassador to the Ottoman Empire, and have since been the subject of a long-running dispute over where they should be displayed.
In an interview with the Sunday Times Culture magazine, deputy director Jonathan Williams said the British Museum wants to “change the temperature of the debate” around the marble works of art.
Mr Williams said: “What we are calling for is an active ‘Parthenon partnership’ with our friends and colleagues in Greece.
“I firmly believe there is space for a really dynamic and positive conversation within which new ways of working together can be found.”
The British Museum has not said it will hand the sculptures back, with Mr Williams arguing they are an “absolutely integral part” of the collection.
However, he said they “want to change the temperature of the debate”, adding that all sides need to “find a way forward around cultural exchange of a level, intensity and dynamism which has not been conceived hitherto”.
He added: “There are many wonderful things we’d be delighted to borrow and lend. It is what we do.”
The Greek prime minister has called for the Parthenon Marbles to be returned to Greece on many occasions, even offering to loan some of his country’s other treasures to the British Museum in exchange.
Kyriakos Mitsotakis has restated that Greece is open to negotiations but said “baby steps are not enough. We want big steps”.
The director of the Acropolis Museum, Nikolaos Stampolidis, also said there could be a “basis for constructive talks” with the “positive Parthenon partnership” offer.
He added: “In the difficult days we are living in, returning them would be an act of history.
“It would be as if the British were restoring democracy itself.”