Aldershot extended their winless streak in the National League to six games, despite taking an early lead through Josh Barrett’s third goal of the season in the seventh minute.
The Shots came close to doubling their advantage when Christian Maghoma's header from a James Henry corner struck the crossbar, as they looked to create some breathing space.
However, Yeovil, who are also struggling with form and are now without a win in five matches, found an equaliser in the 61st minute. Ciaran McGuckin combined well with Jordan Young before calmly slotting home a well-taken goal to earn his side a valuable point.