Rovers were wasteful in front of goal as they eventually overcame Toolstation Western League outfit Bridport Town 2-1 under the Silver Street floodlights to make FA Cup progress.
Rovers enjoyed the greater share of possession throughout the 90 minutes and took the lead eight minutes before the break when, following a neat interchange between Mani Skeet and Will Richards, Skeet tucked the ball home at the near post.
That proved to be the only goal of a well-contested first half.
Two minutes after the re-start, a long ball played forward resulted in a corner to the visitors and, when the Rovers back line failed to clear, a goalmouth scramble ended with the ball nestling in the back of the net!
Rovers were quickly back onto the front foot and retained possession very well, opening up the Bridport defence time and again, but a combination of poor finishing and excellent goalkeeping kept them at bay.
On the hour mark the third and final goal arrived and it came via a corner which was delivered into the area and, when it fell to Craig Veal, in a single movement he controlled the ball and fashioned an opportunity that he took with aplomb, drilling the ball home.
Rovers continued to boss proceedings, but as had been the case for much of the contest, for all their possession, they were unable to find a third goal.
The final 10 minutes saw Bridport throw everyone forward and force a quick succession of corners, but the Rovers back held stood firm through the final whistle.
Rovers reward for the victory is a trip to Shepton Mallet for a Preliminary Round tie on Saturday, September 12.
Shepton Mallett, who like Bridport ply their trade in the Toolstation Western League Premier Division, won their extra preliminary round tie at South West Peninsula League Premier East outfit Torrington 3-0.