Mohamed Elneny (Arsenal) Mo Salah (Liverpool). File Photo
The teams, who were among the favorites to win the competition and are likely to challenge each other in the race for the title, will meet at Emirates Stadium over the weekend of Jan. 6 and 7.
Teams from the Premier League and second-tier Championship enter the FA Cup at the third round stage.
Holder Manchester City was drawn to play division two Huddersfield at Etihad Stadium. Last season's beaten finalist Manchester United travels to division three Wigan, which caused one of the biggest upsets in recent history when beating City in the final to win the trophy in 2013.
Division two Sunderland hosts Newcastle in a north east derby.
All-Premier League ties include Tottenham vs. Burnley, Crystal Palace vs. Everton and Brentford vs. Wolves.