In the first round the club was drawn against East Stirlingshire from the nearby village of Bainsford and lost the match 5–2.

Grangemouth went on to beat Camelon and Kilsyth Wanderers before losing to eventual finalists Vale of Leven in the fourth round.

[2][3] The club's best performance in local competition was reaching the Stirlingshire Cup final in 1891, not conceding a goal until the final; however East Stirlingshire proved too strong, with a 4–1 win over Grangemouth on neutral ground at Camelon.

Grangemouth also competed in regional competitions such as the Stirlingshire Cup and Midland Football League.

Another club from the town called Zetland F.C., which existed between 1882 and 1885, was possibly the same team as one referred to as Grangemouth.