Monfries was drafted by the Bombers with selection 14 in the 2004 AFL draft. He played football for Walkerville Junior Football Club before moving to Melbourne. He made his debut in Round 1, 2005 against Melbourne, which saw him become the 200th player to have played under coach Kevin Sheedy. Monfries maintained his position in the senior side until round 4, but was dropped for the Anzac Day clash in round 5, against Collingwood and did not play at senior level again until round 12. In round 13 against St Kilda, he kicked two goals and, alongside other young Bombers, played a role in a fifteen-point win. He then went on to play every game for the remainder of the season. In 2006, his second season, Monfries played 21 games, missing only one game due to a minor calf strain.