A free agent after the 2005 season, he signed a minor league contract with the Milwaukee Brewers organization in 2006, hitting .197 in 45 games split between the Huntsville Stars and Nashville Sounds.

He began the 2010 season with Gwinnett, hitting .250 in 66 games prior to his September 1, 2010 promotion to the major leagues.

He walked to load the bases in his first major league plate appearance during the ninth inning against the Philadelphia Phillies and scored on a double by Derrek Lee, who was the next batter.

He was released by the Braves on October 19, 2010, but quickly re-signed a minor league contract with an invitation to spring training.

Boscan began the 2012 season back in Triple-A with Gwinnett, where he was hitting .192 in 32 games with 2 HR and 12 RBI until May 26, when he was called up to Atlanta to replace Chipper Jones, who was placed on the 15-day DL.

[6] Boscán signed a minor league contract with the Los Angeles Dodgers on November 12, 2013, and was assigned to the Double–A Chattanooga Lookouts.

On January 16, 2015, Boscán signed a minor league contract with the Kansas City Royals organization.

Boscán made 42 appearances for the Triple-A Omaha Storm Chasers, hitting .216/.260/.259 with 1 home run and 11 RBI.