Can't hurt

http://www.christiantoday.com/news/church/2006.week.of.prayer.for.christian.unity.to.focus.on.reconciliation/935.htm

Week of Prayer for Christian Unity is a joint initiative of the World Council of Churches (WCC) and the Roman Catholic Church, and is traditionally celebrated from 18 to 25 January, although in the Southern hemisphere other dates are sometimes chosen.The Week of Prayer has been taking place each year since its foundation in 1968.

Since the Orthodox continue to maintain their membership in the WCC, there is hope. And of course there is always prayer.