It’s been mostly written dialogue, the Vatican will send a letter, the SSPX send one back in a month or two, and they go back and forth. It will take a long time, but hopefully this is the best way to do it and we will have positive results.
Reconciliation in the legal sense (as the SSPX are already in full communion with the Church) will occur unless the SSPX demand that the Second Vatican Council is abolished. Let’s pray that this will happen quickly.
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