Here is a link to a letter from HH Benedict XVI discussing the status of the SSPX. Please note that the letter is posted directly on the Vatican’s own website and is signed by Benedict himself (not just someone acting in his name). It was issued in March 2009.
vatican.va/holy_father/benedict_xvi/letters/2009/documents/hf_ben-xvi_let_20090310_remissione-scomunica_en.html
Here are a few relevant passages
…The fact that the Society of Saint Pius X does not possess a canonical status in the Church is not, in the end, based on disciplinary but on doctrinal reasons. As long as the Society does not have a canonical status in the Church, its ministers do not exercise legitimate ministries in the Church. There needs to be a distinction, then, between the disciplinary level, which deals with individuals as such, and the doctrinal level, at which ministry and institution are involved. In order to make this clear once again: until the doctrinal questions are clarified, the Society has no canonical status in the Church, and its ministers – even though they have been freed of the ecclesiastical penalty – do not legitimately exercise any ministry in the Church.
In light of this situation, it is my intention henceforth to join the Pontifical Commission “Ecclesia Dei” – the body which has been competent since 1988 for those communities and persons who, coming from the Society of Saint Pius X or from similar groups, wish to return to full communion with the Pope – to the Congregation for the Doctrine of the Faith…
Let’s think about that for a second. How can a community possibly “return to full communion” if that community is not at present outside of full communion? Does the Roman Pontiff labor under some misunderstanding that the SSPX is not in communion with him, when in fact they are? Who better to decide “who is in communion with the Pope?” than the Pope himself?
Please note also the Pope’s words “coming from the [SSPX]…to full communion with the Pope” There is a clear distinction here between the SSPX and the Church. He does not say “from the SSPX to the local diocese” or some similar words. He clearly says from the SSPX to the Church.
We can’t have it both ways. A community is either Catholic and in complete communion and unity with the Church, including, above all, the Roman Pontiff, or it is not. Given that the Roman Pontiff is calling for a “return to full communion” we must necessarily draw the conclusion that such communion does not exist at the present time. The only alternative to that is to say that Pope Benedict is in error about the status of the SSPX.
Later in that same letter, the Roman Pontiff says the following:
Can we be totally indifferent about a community which has 491 priests, 215 seminarians, 6 seminaries, 88 schools, 2 university-level institutes, 117 religious brothers, 164 religious sisters and thousands of lay faithful?
For those who say that the SSPX includes only clerics and not laity: again, I ask if the Roman Pontiff misunderstands the status of this community? While formal membership as such is (as I understand it) limited to clergy, that does not change the fact that laity are
de facto “members” of this community which is presently outside of full communion with the Catholic Church.
Lest there be any misunderstandings (or misrepresentations of what I’m saying here), it is not my intention to attempt to prove that any particular person is excommunicated. Whether or not individual persons (lay or cleric) are themselves excommunicated is not for me to say. The community of the SSPX is not in communion with the One Holy Catholic and Apostolic Church–that much is made clear by the Pope’s letter. Excommunication applies to individuals, not communities; meaning that a community cannot “be excommunicated”, only individuals who belong to a community. So while we cannot say that “the SSPX is excommunicated” we certainly can say that “The SSPX community is not in communion with the Church.” Whether or not individual persons who have some affiliation with the SSPX have been excommunicated is a different matter.