Wregget also shared a majority of the work for the Penguins during the 1996-1997 season with Barrasso again injured, going 17-17-6 and getting all five playoff starts for the Penguins that season. In 1997-1998 with Barrasso healthy (and having a career year himself) and the emergence of Peter Skudra and Jean-Sebastien Aubin as legitimate back-up options, Wregget was made expendable and thus traded to the Calgary Flames after the 1998 season ended with Dave Roche for German Titov and Todd Hlusko. Despite generally being the back-up in Pittsburgh, he still as of 2015 ranks 4th in Penguins' history in games played 212 (behind Fleury, Barrasso, and Herron), 3rd in wins with 104 (behind Fleury and Barrasso), and tied for 5th in shutouts with 6 (behind Fleury, Barrasso, Binkley, Hedberg, and tied with Aubin).