The Rebaptism Controversy
The major theological dispute of Stephen's pontificate concerned the treatment of converts who had been baptized by schismatic sects. Stephen held that such converts did not need to be re-baptized — a conciliatory position that, according to the sources, eventually won broad acceptance in the Latin Church.
This put him in sharp conflict with Cyprian of Carthage and the African bishops, who maintained the opposite view and required the rebaptism of those baptized outside the Church. The dispute grew heated, and Cyprian is reported to have described Stephen as 'quarrelsome' in his letters.