The cardinal, who is president of the Pontifical Council for Legislative Text, has referred to the importance of Pope Paul Vl's meeting with the then Archbishop of Canterbury, Michael Ramsey, in 1966.
On that occasion the pope gave his episcopal ring and a chalice to the archbishop.
Cardinal Coccopalmerio points out that the giving of the chalice was most significant.
"When someone is ordained in the Aglican Church and becomes a parish priest in a community, we cannot say that nothing has happened, that everything is 'invalid', Coccopalmeiro has written in a recently published book.
The cardinal is an ally of Pope Francis.