His Excellency Bishop Fellay, around a year ago, mentioned the excellent and incredible progress stemming from the doctrinal discussions. This is a clear refutation of sede-vacantists on one side, and modernists on the other. Meanwhile, it is evidence against the absurd paranoia of some Resistants, showing that, on the contrary, good fruit has already come from the doctrinal discussions of the best Society Theologians with the Roman Authorities, which will yield even greater benefits for Tradition and the wider Church in future. The SSPX alone holds the perfect integral Traditional Catholic position of continuing Catholic Tradition perfectly in the Church, with Traditional Catholic Bishops, and with Roman approval if possible, just like Archbishop Lefebvre. Here's an excerpt,

It'll be just amazing if Doctrinal Discussions Round #2 begins in future where the SSPX will ask for anathemas against heresies etc.

RE: Pope Francis wants to extend a hand of reconciliation to the Society. Do you still anticipate unification, or has that favorable moment passed?
Bishop Fellay: I am optimistic. But I cannot move God’s hour ahead. If the Holy Ghost is capable of influencing the present Pope, then He will do so with the next one too. And in fact that’s how it has happened. And with Pope Francis, too. When Pope Francis was elected, I thought: Now comes the excommunication. But it was the opposite: Cardinal Müller wanted to obtain our excommunication, and Pope Francis refused. He told me personally: “I will not condemn you!” The reconciliation will come. Our Mother the Church at the present time is incredibly divided. The conservatives want us and have said as much even in the Congregation for the Doctrine of the Faith. The German bishops do not want us at all. Rome has to reckon with all these elements—we understand that. If we were simply accepted just like that, there would be war in the Church. There is fear that we might triumph. Pope Francis told journalists: “I will make sure that it is not a triumph for you.”
RE: There are tensions and fears within the Society too, though. In France quite a few priests and laypeople have separated from the SSPX because the mere fact of negotiations with the Vatican has stirred up mistrust. How would the SSPX members take reconciliation with Rome?
Bishop Fellay: That will depend on what Rome demands of us. If they let us keep doing what we are doing and give us enough guarantees—then no one will go away. The mistrust is based on the fear of having to accept something new. If they demand that we follow new paths, then no one will come.
RE: What makes you so sure that everyone could go along? The mere announcement about the discussions [between the CDF and the SSPX] already unleashed massive unrest and resignations. What conclusion could possibly calm your followers? The mistrust would not just go away after unification.
Bishop Fellay: That is true. But the goodness is there, the good will. For years we have been working with Rome to rebuild trust. And we have made great progress, despite all the reactions. If we arrive at a reasonable unification with normal conditions, very few will stay away. I have no great fear of a new division in Tradition, if the right terms with Rome are found. We are allowed to call into question certain points of the Council. Our dialogue partners in Rome told us: The main points—freedom of religion, ecuмenism, the new Mass—are open questions. That is incredible progress. The line always used to be: You must obey. But now our colleagues in the Curia tell us: You ought to open a seminary in Rome, a university to defend Tradition. No longer is everything black and white.

From: https://sspx.org/en/news-events/news/bishop-fellay-interview-%E2%80%9Cwe-are-disturbing-factor-church%E2%80%9D-39449

Historical Question for the Resistance. Who said the below? (1) Bishop Fellay? or (2) Archbishop Lefebvre?

"I THINK THAT, like all traditionalist Catholics, you would like now to hear how things stand; at what point relations are between the Priestly Society of St. Pius X and the Vatican in Rome. So I shall give you a rapid summary.

Why do I maintain relations with Rome? Why do I keep going to Rome? Because I think that Rome is the center of Catholicism, because I think that there cannot be any Catholic Church without Rome. Consequently, if our purpose is to find a way of setting the Church straight again, it is by turning to Rome that maybe, with the grace of God, we may perhaps manage to set the situation straight. It is not one single bishop like myself who can set the whole situation straight in the Catholic Church. That is why I strive to keep on going to Rome and to plead the cause of Tradition ... There is the situation such as it is at present, and I must admit that, for the moment, I see no great hope. The only little success which might be on the way is this famous decree still in suspense, still being put off, a decree to enable all priests to say the old Mass, to leave them freedom and no longer to persecute them. Now, this decree was due to appear, but for three years they have been talking about it and for three years it has still not been published. For, you must realize that, at present, the situation at Rome is very difficult. Modernism is still all powerful at Rome. The Modernist and progressive Cardinals are in the majority; thus, even if there are one or two cardinals who are more or less traditionalists and who have at least a desire to come back to Tradition, well, they are immediately stopped by five or six cardinals who have all power and who put pressure on the Holy Father to stop any return to Tradition. It is they who are preventing this decree from appearing. They say to the Pope, “If you make this decree appear, if you liberate the old Mass, the traditional Mass, then everything that we have done since the Council is over and done with.” ...

Here is why I have always thought that I had to go to Rome, that I had to write, that I had to visit these cardinals in order that they should not say that we are doing nothing or that we no longer recognize them or that we wish to have no contact with them. They cannot say that I have not done everything in my power to try to stay in contact with them. However, I think what counts much more are the facts, than the words or writings, even for Rome. What are the facts which count for us? The seminaries! To make priests! To make traditional priests, priests according to Tradition, to make good and holy priests in our seminaries. That is the work we must carry on with and the work which counts in Rome. Why does Rome still go on receiving me? Why do they still consider me with a certain respect? Because they know that I have seminaries, that I have now ordained nearly 200 priests since 1970 and that I have 250 seminarians in my seminaries. They know that very well and that’s what counts at Rome. They no longer have any seminaries. Their seminaries are empty or they are Modernist seminaries.

Now they know that at Econe, at Ridgefield, at Zaitzkofen, and at Buenos Aires, we are forming true priests. They know that very well and they admire our young priests. So, that is what makes even more of an impression on them than my words, writings or meetings. They are well aware that this year I ordained thirty priests. So that’s what I think it is. And they are perfectly well aware that our priests are spread throughout the world. They know of the existence of our traditional groups throughout the world, and a little everywhere in the world. We are striving to extend. They know we have many priories in Europe, in all the European countries. They know, moreover, that there are other traditional priests, that we are not alone, that we support other traditional priests in their work. So all of that scares them a little. They are forced to reckon with us. And that is how I think we will succeed one day in convincing Rome that they must return to Tradition. They will say, we can no longer ignore these seminaries, these priests, not only the priests of the Society, but all traditionalist priests as well. We can no longer ignore them. That is the task before us, and I have never changed! ...

So, I think that the good sense of the faithful will triumph and that, little by little, the faithful will understand that a certain number of our priests have taken up an attitude which is not normal. In fact, they are children rebelling against their parents. Their father in priesthood is me. They are rebelling against me, whereas I have changed nothing, nothing, nothing. This attitude is unacceptable, absolutely unacceptable ...So, I trust you will remain faithful and that we will be able to continue working together for the greater good of the Church, because there is nothing more disastrous, even in the face of Rome, than these divisions, because these divisions weaken us and weaken our fight for Tradition. So, let us pray that everything will be sorted out.

Personally, I am not seeking to harm these priests may God be their judge! And I ask you not to get into polemics, but simply to follow us. You now have here a magnificent chapel. Come and attend Mass in this chapel with the priests of the Society, and, in the various centers, bring about a regrouping of the faithful staying with the Society, so that they keep their bond with Rome and with the Church. It is very important that there should always be the bond with Rome if we wish to remain Catholic; even if we do not agree with everything being done in Rome, I think the bond is absolutely indispensable.

...So, I thank the Good Lord, I thank you all, and I trust that this chapel will be the means of a return to genuine Tradition."

RE: Pope Francis wants to extend a hand of reconciliation to the Society. Do you still anticipate unification, or has that favorable moment passed?

This bit right here makes as much sense as Pope Paul VI saying that all the heresies concocted at V2 was for "the glory of God and the dignity of the Church and for the tranquillity and peace of all men".

FYI, such an event as a "reconciliation" can only be a "favorable moment" *after* the conciliar pope and church reconciles with the Catholic Church, full stop. That's all there is and there ain't no more.