Deeping Rangers have been drawn away from home again in the Buildbase FA Vase.
The Clarets face a trip to Hinckley in the third round proper on Saturday, December 2.
Deeping reached the third round for only the third time in their history with Saturday’s thrilling second-half comeback at Godmanchester Rovers.
Jonny Clay headed the opening goal from Dan Schiavi’s corner but Rangers were 3-1 down before the break.
Scott Coupland pulled one back from the penalty spot, Luke Hunnings headed the equaliser and Scott Mooney lobbed the winner two minutes into stoppage-time.
Hinckley, currently sixth in the Total Motion Midland League Division One, won 2-0 at home to AFC Mansfield at the weekend.