Graham has been a member of Alloa RFC for many years, serving the club as a player, Coach Secretary and Vice President. As a rugby administrator Graham was employed as Caledonia Rugby Administration Executive between 1997 and 2006.
Since 2006 he has served on the Caledonia Competitions Committee and is currently Caledonia Midlands Age Grade Convenor. He also chairs the National Youth Forum and serves as the Council Ambassador with the Scotland U18 team.
Graham serves as a Trustee on the Murrayfield Centenary Fund.