Arsenal and Liverpool have won 22 FA Cups between them and will meet in the third round
Elsewhere, Sunderland will face Newcastle in a Tyne-Wear derby at the Stadium of Light and holders Manchester City will entertain Huddersfield Town.
Manchester United will visit 2013 winners Wigan Athletic, Tottenham will host Burnley, and Everton will travel to Crystal Palace.
The third round will be played between 5 and 8 January.
Isthmian League South East Division side Ramsgate, the lowest-ranked team left in the competition, will host Championship high-flyers Ipswich if they can beat AFC Wimbledon in their second-round tie on Monday.
Maidstone, of the National League South, can look forward to a home tie against either Stevenage or Port Vale.
-- Courtesy of BBC Sport