Chances were at a premium as both sides lacked a cutting edge in a tepid first round tie.
Early on Stevenage’s Stacy Long tried a shot from just inside the box, but David Martin saved well at his near post.
The Dons responded with Peter Leven striking a shot just over the crossbar, but that came just a minute after Long had again been denied by a smart Martin save.
Shortly before the interval Stevenage almost went in front when Ben May rose well, but planted a powerful header narrowly wide.
The Dons enjoyed the better of the second half as Angelo Balanta went close with a low drive, before Jemal Johnson fired inches wide late on.