As a reward for defeating Bristol Rovers in the opening round of the Johnstone's Paint Trophy, Yeovil Town face another local tie as they travel to Torquay United.
The Glovers have met the Gulls once in the competition in the 2004-05 season. Torquay won the tie 4-3 with Bayo Akinfenwa netting a brace.
Plymouth Argyle, who like Torquay, also received a bye into the second round, host Aldershot Town in what will be the third meeting between the two sides in the current calendar year.
The Pilgrims won the first meeting 1-0 on Easter Monday with Burnley loanee Alex MacDonald, who recently returned to Home Park for a second loan spell, scoring the game's decisive goal.
Their most recent meeting came on the opening day of the Npower League Two campaign, which Aldershot won 2-0.