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.
Francis, who previously opposed the idea that celibacy was an option for leaders of the church, appeared to loosen his stance when speaking with Argentine outlet Infobae.
Francis stressed the differences between men and women but called for 'equality in diversity' on 'a playing field open to all players.'
Francis also rejected claims by some conservatives that Benedict, who died on Aug. 31, was embittered by some of the current pope's decisions.
More than 1,000 Italian security personnel were called up to help safeguard the event, and air space around the tiny Holy See has been closed off for the day.
The retired former pope has been laying in state without the papal regalia, but will be buried in the traditional three coffins in the Vatican.