A breakaway Catholic traditionalist group has rejected the Vatican’s offer of talks. The position of the Society of St. Pius X suggests a collision course with Pope Leo XIV over its planned consecrations of new bishops without his consent. The SSPX, as the group is known, celebrates the old Latin Mass and has no formal status in the Catholic Church. It is planning to consecrate four new bishops without papal consent. The Vatican has offered dialogue, but only if the SSPX calls off the July 1 ceremony. In a letter Thursday to the Vatican’s doctrine chief, the SSPX said the Vatican's threat of sanctions “is hardly compatible with a genuine desire for fraternal exchanges and constructive dialogue.”