Fellay talks a good game, but he has either expelled or allowed himself to be talked into expelling the leading proponent of reuinon, a Fr. Aulaigner. He's out of the SSPX, at the insistence, I suspect, of the foam-at-the-mouth hierarch, Richard Williamson. Fellay kinda likes being a big fish in a small pond. After reconciliation, he'd be a nobody.
It is the responsibility of the SSPX to seek reconciliation. They left, remember?
They never left. Get over it.