Tallet went 1-2 with a 2.88 ERA in a career-high 51 games last season, his third with Toronto. Drafted by Cleveland in 2000, Tallet has a 7-8 record in 152 games, including six starts.
After making $640,000 last year, Tallet asked last month for $1.3 million in arbitration and was offered $950,000.
Right-hander Shawn Camp is the only Blue Jays player still in arbitration. The Blue Jays have not gone to a hearing since right-hander Bill Risley in 1997.
Beam was 2-2 with a 4.48 ERA in 32 relief appearances for Pittsburgh in 2008. Drafted by the New York Yankees in 2003, he reached the major leagues in 2006 and went 2-0 with an 8.50 ERA in 20 games. Beam joined the Pirates as a free agent in December 2007.
Adams was Toronto's first-round pick in the 2002 draft, making him the first player drafted by Toronto general manager J.P. Ricciardi. Adams, who did not play for Toronto in 2008, has a .248 career average with 17 home runs and 113 RBIs in 278 games.