Career
McMullan has also had loan spells at Stenhousemuir and Street Mirren. Celtic
Born in Stirling, McMullan began his career in the under-19 team at Celtic. Stenhousemuir (loan)
On 23 January 2015, he joined Scottish League One club Stenhousemuir on loan for the remainder of the season.
He made his senior debut the following day, playing the full 90 minutes of a 1–1 draw with Ayr United at Ochilview Park, scoring his team"s goal.
On 14 February, he opened the scoring away to Dunfermline Athletic, who came from behind to defeat Stenhousemuir 3–2. McMullan"s only other goal of 14 league appearances came on 11 April in a defeat by the same score at Greenock Morton.
Stenhousemuir finished in the relegation play-off places, but stayed up with a 2–1 aggregate victory over Queen"s Park: McMullan"s free-kick set up Jamie McCormack to head the only goal of the first leg on 13 May, and he also assisted Colin McMenamin in the second leg three days later. Street Mirren (loan)
On 13 July 2015, McMullan was loaned to Scottish Championship club Street Mirren for the 2015-2016 season.
On 7 August, he made his league debut for the team in a defeat by the same score to Rangers at Ibrox.
In January 2016, McMullan"s loan was ended by Saints, and he returned to Celtic. In total, he played 22 games for the club, scoring once. Greenock Morton (loan)
McMullan was loaned to Greenock Morton on 24 February 2016, starting against Scottish Championship league opponents Hibernian on the same day.