Jason has drummed for six All That Remains albums: Overcome, For We Are Many, A War You Cannot Win, The Order of Things, Madness, and Victim of the New Disease.

[citation needed] Jason Costa joined the Boston-based band Diecast as the original drummer in 1997.

[citation needed] Jason Costa auditioned for All That Remains in 2006 to replace former drummer Shannon Lucas.

When asked if making the switch from Diecast to All That Remains was difficult, he said, "Nothing for me was a challenge except having to put some time into practicing blast beats, but those are pretty easy... no secret to learning that.

[4] On 20 July 2023, Jason announced he was leaving All That Remains, citing "deeply personal reasons" that were unrelated to the band.