The prefect of the Congregation for the Doctrine of the Faith this morning met Bishop Bernard Fellay, the superior general of the Society of St. Pius X, the Vatican has announced. 

In a statement, the Vatican said:

"On the morning of Tuesday 23 September from 11 am to 1 pm, a cordial meeting took place at the premises of the Congregation for the Doctrine of the Faith, between Cardinal Gerhard Ludwig Muller, prefect of the Congregation for the Doctrine of the Faith and Bishop Bernard Fellay, superior general of the Society of St. Pius X.

"The meeting was also attended by Archbishops Luis Francisco Ladaria Ferrer, S.I., secretary of the same Congregation, Joseph Augustine Di Noia, O.P., adjunct secretary and Guido Pozzo, secretary of the Pontifical Commission Ecclesia Dei, along with two assistants from the Society of St. Pius X, Rev. Niklaus Pfluger and Rev. Alain-Marc Nély.

"During the meeting, various problems of a doctrinal and canonical nature were examined, and it was decided to proceed gradually and over a reasonable period of time in order to overcome difficulties and with a view to the envisioned full reconciliation."

This is the first time Bishop Fellay has officially met the CDF prefect since reconciliation talks, led by Cardinal Mueller's predecessor, Cardinal William Levada, collapsed in 2012.