Unity between the Western and Eastern Church?

First, let me put a caveat on this article. As we saw earlier this week,Catholic World News may or may not be the most reliable in the world, but they are mentioning a possible reconciliation of the Byzantine Rite Catholic Church to the Eastern Orthodox. I'm not even sure how this would be possible, that a specific rite within the Catholic Church would be in full communion with both? Maybe someone else has more expertise than me. Anyway, let's pray for unity of all Christians throughout the world in a way that God would find pleasing, based on his truth and love.