From a priest reader:
Something I was thinking about tonight with regard to how we should PRAY for the SSPX:
I think we need to pray for all the priests of the Society, for the softening of their hearts, because in order for them to reconcile with Rome it seems that they will simultaneously have to realize and accept the fact — and try to make right — that they have administered many invalid confessions and marriages. I can only imagine how crushing this fact would be for any priestly heart to bear. Along with this goes the need to pray for the lay faithful attached to the SSPX, who will presumably have to make new general confessions and have marriages convalidated when seeking union with Rome. This element will be very difficult for all, I think.