The musical, which is inspired by American capitalists and con-artists, the Mizner brothers, was first seen at Chicago's Goodman Theatre in 2003 before traveling to Washington's Kennedy Center.
Weidman is currently in London, where he is working with lyricist Richard Maltby, Jr. and composer David Shire on rehearsals for the world premiere of another musical, Take Flight, which opens at the Menier Chocolate Factory July 25.
Speaking to Playbill.com, Weidman said of Bounce, "Stephen and I have written it and re-written it, and I guess we feel that this last re-write is the one that gets closest to what our original intention was."
Following the Kennedy Center mounting, the intention was to bring Bounce to Broadway, but ultimately producer Roger Berlind decided against a New York transfer.
The Public's connection with Bounce began in February 2006 with a reading of the show featuring two-time Tony winner Bernadette Peters and Richard Kind, who was also part of the 2003 company. "We feel like we've figured it out, so we'll do it one more time," said Weidman, who previously collaborated with Sondheim on Pacific Overtures and Assassins. "We're going to do it at the Public Theater in a little over a year from now."
A recent New York Post article said that Tony Award winner John Doyle, currently represented on Broadway with the Tony-winning revival of Company, would likely direct the Public Bounce, although the production would not employ Doyle's actor-musician trademark staging.