The contract does not have an escape clause should the NBA lockout end in time for all or part of the 2011-12 NBA season, which means Songaila is committed to spending the entire season in Turkey.
Nets point guard Deron Williams agreed to terms with another Turkish League team, Besiktas, earlier this week, but he does have the option to return to the U.S. if the NBA lockout ends and games are played next season.
"Darius didn't play a lot of minutes last season in Philadelphia and with the uncertainty surrounding the lockout, he wanted to make sure he'd play next season," said his agent, Mark Bartlestein.
Songaila, 33, has played for five NBA teams over 10 seasons, but he could not crack the 76ers' young, strong front-line rotation and made only 10 appearances last season. He plans to play for the Lithuanian national team this summer.
Galatasaray Cafe Crown lost 4-2 in a best-of-seven series to Fenerbahce Ulker in the Turkish League finals last month.
Ric Bucher covers the NBA for ESPN The Magazine.