From an interview granted by the Superior General of the Priestly Fraternity of Saint Pius X (FSSPX/SSPX) to the Caledonian newspaper Les Nouvelles Caledoniennes (Dec. 27, 2010):
The goal of your Fraternity is still to integrate the Catholic Church?
Yes, we have always maintained that we do not wish to go our own way. We maintain that we are Catholic and that we remain so. We wish that Rome will recognize us as true Bishops. Otherwise, the word schismatic is not used any longer regarding us. Now, if we are not schismatics, nor heretics, then we are truly Catholic. Otherwise, the Pope says that there is solely a problem of a canonical nature. An act of Rome suffices to state that it's over and that we reenter the Church. This will happen [Ça viendra.]. I am very optimistic.
[Source: Le Forum Catholique; tip: Le Salon Beige]