The club has two senior men's, one ladies, two veterans, 20 youth and mini soccer and three girls teams, and is affiliated to the Wiltshire County Football Association.

From 1930, when the club was reformed after a two decade hiatus, until 2013, Bassett played at the Gerard Buxton Sports Ground at Rylands Way.

The ground was donated by local dignitary Major Gerard Buxton for sporting activities within the town and opened in May 1930.

[1][2] Bassett made the final of the Wiltshire Senior Cup again during its first year playing at county level, but lost to Swindon Town Reserves.

Bassett resigned from the Wiltshire County League in the summer of 1908 after failing to comply with league regulations which insisted players must reside within a specific radius of the town – the majority of the Bassett side at the time lived in Swindon, while financial pressures meant the club would fold.

Re-election to the now expanded Wiltshire League followed, but Bassett struggled to compete with the likes of Westbury United, Devizes and Purton.

[6] A year later, now playing in the Wiltshire Premier Division, Bassett enjoyed another successful season, embarking on a nine-game FA Amateur Cup run that saw them again fall one game short of reaching the first round proper.

[11] In their first season in the Premier Division, Bassett secured a mid-table position, and also won the Wiltshire Senior Cup for a second time by defeating Shrewton United 2–0.

[12] A year later the club reached the first round of the FA Vase for the first time, losing at home to Cornish side St Blazey.

However, in the league Bassett became involved in numerous relegation battles, eventually falling back to Division One West after finishing 21st in the 2004/05 season.

[13] Bassett came close to securing an immediate return to the Hellenic Premier Division in 2005/06, following a three-month unbeaten spell from the end of January.

However, a 1–0 defeat at Trowbridge Town in the penultimate game of the year saw Bassett finish fifth in Division One West, one point shy of third place and a promotion spot.

[17] A return to the Hellenic Premier Division was finally achieved in 2009/10 as Bassett finished runners-up to Slimbridge on goal difference after losing three league games all season.

Manager Dave Turner, who stood down at the end of the campaign, also led the team to the second qualifying round of the FA Cup, where Bassett were defeated by Conference South side Dorchester Town.