Catholic News Agency is reporting a statement made by the Vatican Secretariat of State and published by L'Osservatore Romano. For background, see this previous post.
“The lifting of the excommunication has freed the four bishops from a very grave canonical penalty, but it has not changed the juridical situation of the Society of St. Pius X, which currently does not enjoy any canonical recognition in the Catholic Church. In addition, the four bishops, while they are no longer excommunicated, do not have a canonical role in the Church and do not licitly exercise a ministry in her,” the statement says.
In order for the SSPX to be recognized, the statement goes on to say, “full recognition of Vatican Council II, the Magisteriums of Popes John XXIII, Paul VI, John Paul I, John Paul II and Benedict XVI himself is an indispensable condition.”
While I would dearly love to see these souls returned to union with the Church, I don't see it happening any time soon. Of course, I'm wrong often.