[1] After playing for the reserve team during the 1910–11 season,[5] he made his first-team debut on 25 September 1911, keeping a clean sheet as Aberdeen beat Queen's Park 3–0.
The Scotsman reported that "Greig appeared in goal for the home team, and got an encouraging reception, which ultimate events proved to be well deserved.
[7] He played in the defeat of First Division club Sheffield Wednesday in the 1919–20 FA Cup, in front of 52,388 spectators at Hillsborough – the Daily Express reported that Greig was "tested with all manner of shots, but always emerged triumphant", and that he and his full-backs were "as sound a defence as one could wish for".
He made his debut in the Football League on 5 November 1921 in a 3–0 defeat of Barrow, and retained his place, keeping John Ward out of the team, until April 1922 when he broke his arm during a match.
He regained his regular starting place for the next two seasons, taking his appearance totals to 95 Football League matches and 20 in the FA Cup, but the club's financial problems meant they had to let players leave, and Greig spent time with Shildon before returning to Scotland where he played for Peterhead and Montrose.