The Vatican told a group of breakaway traditional Catholics on Wednesday that they must accept some core church teachings if they want to be brought back into the Roman Catholic fold.

The Vatican didn’t say what the teachings were, however, and a top official of the group recently made clear that it remains opposed to the church’s decades-long outreach to Jews, Muslims and members of other faiths.

The Vatican’s chief doctrinal official, Cardinal William Levada, met with the head of the Society of St. Pius X, the latest in Pope Benedict XVI’s efforts to reconcile with the group opposed to the liberalizing reforms of the Second Vatican Council.

The Vatican said it handed over a two-page “doctrinal preamble” to the society’s leader, Bishop Bernard Fellay, listing core principles of church teaching and interpretation that must be accepted by the society. But it said specific issues about Vatican II could be left to “legitimate discussion.”

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