Yu Zhengsheng's speech yesterday came at the end of a meeting of China's official Catholic church that was being closely watched by the Holy See.
Yu is one of seven members of the Politburo Standing Committee, China's top decision-making body. His speech could be a measure of how much Beijing is willing to yield in potential dialogue with the Holy See.
State media reported that Yu called on Catholic churches to adhere to "socialism with Chinese characteristics," - a term that describes China's model of development, which for decades has favoured economic liberalisation but not political reform. China's ruling Communist Party is officially atheistic.
China and the Vatican have long clashed over whether the party-controlled Chinese church could operate outside the pope's authority. Beijing severed relations with the Holy See in 1951, shortly after the Communist Party took power, and officially allows worship only in state-sanctioned churches. Many of China's estimated 12 million Catholics are thought to worship in underground congregations.
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Starting under Pope Benedict XVI, the Vatican has sought to unite Chinese Catholics under the Holy See. Pope Francis has said that both sides had resumed meetings of working groups over the naming of bishops, an issue central to the dispute between both sides.
Wang Zuo'an, China's head of religious affairs, said earlier this week he hoped the Vatican would be flexible and pragmatic, and take concrete steps to improve relations, state media reported. No details were given of what Beijing expects.