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Last year's FA Vase finalists Tunbridge Wells will enter the 2013/14 competition with a local derby against Crowborough Athletic.
Martin Larkin's side went all the way to Wembley before losing to Spennymoor Town in front of almost 17,000 supporters.
Lordswood, whose run to the fourth round last season was the best in their history, have been handed a home tie against Southern Counties East rivals Whyteleafe.
Looking to go beyond the second round for the first time, Ashford United also have a home game to look forward to, against Littlehampton Town.
Erith Town, second in Southern Counties East, host FA Cup survivors Hartley Wintney, while Cray Valley will travel to South Park.
A trip to Ascot United, who reached the Vase quarter-finals last season, lies in store for Beckenham Town.
The ties will be played over the weekend of November 16.
FA VASE SECOND ROUND DRAW
Lordswood v Whyteleafe
South Park v Cray Valley (PM)
Tunbridge Wells v Crowborough Athletic
Ashford United v Littlehampton Town
Ascot United v Beckenham Town
Erith Town v Hartley Wintney