he spent 2001 and part of 2002 with the Navigators as he went 17-11 and earned another promotion to Triple A with the Columbus Clippers of the International League in 2002.

He finished the 2005 season with the Louisville Bats, the top farm club of the Cincinnati Reds, where he compiled a record of 2–1.

In his next start against the Tampa Bay Devil Rays, he only lasted a third of an inning, giving up five earned runs, but avoided a loss in both appearances.

Opening day 2009 found Alex with the defending champions, the Saitama Seibu Lions for his fourth season in the Japanese Pacific League.

Graman's development as a pitcher while in Japan, led many in baseball to believe he would return to the Major Leagues as a set-up man or long reliever.

On January 16, 2012, Graman signed a contract with a bonus of $50,000 with Kia Tigers of the Korea Baseball Organization.

Following his retirement, Graman began a career in youth baseball; spending 4 years with the Indiana Bulls travel team and a similar tenure with Zionsville High School.