The 6-foot-4, 325-pounder started 30 games at center for the Colts the past two seasons.
McGlynn is a former Philadelphia Eagles fourth-round pick from Pitt.
McGlynn has also played for the Cincinnati Bengals.
For his career, McGlynn has played in 57 games with 48 starts.
Follow me on Twitter: @RavensInsider
Aaron Wilson covers the Ravens for The Baltimore Sun