City and Aldershot's ball number 18 was the very first one to be picked out during the second round draw this Monday evening.
With former Fulham striker Barry Hayles in their ranks as a player/coach, Chesham produced one of the main shocks of the first round weekend when they secured a surprise 1-0 victory at Sky Bet League 2 side Bristol Rovers.
Chesham are currently positioned 17th in the Southern League Premier Division league table.
Second round ties in the Emirates FA Cup are due to be played over the weekend of 4/5/6/7 December 2015.
The Bantams and Aldershot played out a goalless draw at the EBB Stadium in their original first round tie on Sunday.
Details regarding City's FA Cup first round replay with Aldershot at the Coral Windows Stadium are expected to be confirmed shortly.