Muldowney played his first game for Glasgow on 3 September 2010 in a 2010–11 Celtic League match with Leinster. He made his European debut for the team in the 2010–11 Heineken Cup game with Toulouse on 10 December that year, and played in another three of the team's pool games. Muldowney played a total of 20 Celtic League games for the side, scoring tries against Newport Gwent Dragons and Benetton Treviso. He played his final game for Warriors on 6 May 2011 against Leinster.