Plymouth Argyle pushed and pushed for a goal and when 10 minutes of injury time went up on the board it looked like they weren’t going to get one.
Graham Carey, who starred for the Pilgrims, managed to get a shot away in the dying minutes and Stevenage goalkeeper Seny Dieng could only parry the effort.
The ball eventually found second half substitute Ruben Lameiras and his effort at goal rolled into the bottom corner.
The Green Army went wild as the Argyle players celebrated what proved to be the winning goal.
Carey, Joel Grant, Freddie Ladapo and Lameiras had all gone close earlier in the game but attempts went wide or were saved well by Dieng.
The Stevenage defence deserved praise as they made block after block to make the game such a tight affair.
Argyle goalkeeper Matt Macey had little to do in the game but he commanded his goal well on the odd occasion the away side did threaten.
The other talking point in the game came when Steve Seddon clashed with Yann Songo’o, which resulted in extensive treatment on the pitch.
Seddon was eventually stretchered off the pitch and replaced by Danny Newton.
The result saved Derek Adams’ men from having to make the journey to Broadhall Way in a replay and has earned the side a place in the second round draw.