The Toffees will be looking to advance and win their first trophy since 1995.
Everton will face last years Premier League champions Leicester City in the Emirates FA Cup third round.
The last time that the two sides met the Foxes were officially crowned champions at the King Power Stadium. Ranieri's men ran out 3-1 winners as they comfortably beat the Blues with Jamie Vardy bagging two while Andy King got on the scoresheet.
Kevin Mirallas got himself a goal in the 88th minute but it was a day to forget for Everton, seeing a club like Leicester winning the league while they stumbled to a bottom half finish for the second time in two years.
Everton will now be looking for revenge as they hope to finish break their trophy drought, having not had their hands on silverware for 21 years.
The ties are due to be played between the 6th and 9th of January and the tie will be played at Goodison Park.
Here is the rest of the Third Round draw -
Ipswich Town v Lincoln/Oldham
Barrow v Rochdale
Manchester United v Reading
Hull v Swansea
Sunderland v Burnley
QPR v Blackburn
Millwall v Bournemouth
West Ham v Manchester City
Brighton v MK Dons/Charlton
Blackpool v Barnsley
Wigan v Nottm Forest
Birmingham v Newcastle
Chelsea v Peterborough/Notts County
Middlesbrough v Sheff Weds
West Brom v Derby County
Everton v Leicester
Liverpool v Newport/Plymouth
Wycombe v Northampton/Stourbridge
Watford v Burton Albion
Preston v Arsenal
Cardiff v Fulham
Stoke v Wolves
Cambridge Utd v Leeds
Bristol City v Shrewsbury/Fleetwood
Huddersfield v Port Vale
Tottenham v Aston Villa
Brentford v Halifax/Eastleigh
Bolton v Crystal Palace
Norwich v Southampton
Sutton Utd v AFC Wimbledon
Accrington v Luton
Rotherham v Oxford/Macclesfield