[4] Falkirk received a bye into the second round and faced Division One club Morton at Cappielow in Greenock, with the match ending in a 2–2 draw to force a replay.
The tie was played at Rangers' home Ibrox Stadium and Falkirk scored three first-half goals in a shock 3–1 victory over the club.
[7][8] The quarter-finals saw Division Two club Dumbarton travel to Falkirk, with the home team producing a 1–0 victory to progress to the semi-finals for only the second time in its history.
[9] In the semi-final Falkirk faced Edinburgh club Heart of Midlothian at a neutral venue, travelling to Ibrox Park for a second time in the tournament.
[11] Like their final opponents, Raith Rovers also received a bye into the second round, being drawn against non-league club Broxburn United away from home.