In 1992, he was traded from the Philadelphia Flyers to the reigning champion Pittsburgh Penguins along with Kjell Samuelsson and Rick Tocchet in exchange for Mark Recchi. Wregget was generally backup to Penguins goaltender Tom Barrasso, although Wregget was regarded as a solid goaltender in his own right. There was frequent speculation that Wregget would take over as the starting goaltender.