From Vertograd Orthodox Journal, Newsletter No. 76, Oct. 21, 2009 (via the Irenikon listserv):
“To all intent and purposes, mutual recognition of each others Mysteries already exists between us. We do not have communion in the Mysteries, but we do recognize each others Mysteries”, declared Archbishop Hilarion (Alfeev) on the air during a broadcast of the program “The Church and the World” on the television channel “Russia”, on October 17th (video and text, http://vera.vesti.ru/doc.html?id=237432).
“If a Roman Catholic priest converts to Orthodoxy, we receive him as a priest, and we do not re-ordain him. And that means that, de facto, we recognize the Mysteries of the Roman Catholic Church”, explained Archbishop Hilarion.
Responding to the question of whether Roman Catholics can receive Communion from the Orthodox, or Orthodox Christians from the Roman Catholics, Archbishop Hilarion said that such giving of Communion should not take place, inasmuch as “eucharistic communion has been broken” between the Orthodox and Roman
Catholics. But, at the same time, he made clear that in some cases such
Communion is possible: “Exceptional cases occur, when, for example, a Roman Catholic is dying in some town where there is no Roman Catholic priest at all in the vicinity. So he asks an Orthodox priest to come. Then in such a case, I think, the Orthodox priest should go and give Communion to that person.”