National League side Chesterfield, who beat the Class of 92's Salford City in the second round, got themselves a great draw as they take on Chelsea at Stamford Bridge.
The three other non-league sides still in the cup didn't get quite such eye-catching ties with Boreham Wood playing against AFC Wimbledon next.
Kidderminster Harriers, who play in the National League North, are at home to Reading, while National League Yeovil Town face Bournemouth.
Meanwhile, Steven Gerrard is set to receive a hostile reception in his first FA Cup match as a manager with his Aston Villa side being drawn away to Manchester United.
The 41-year-old, who's made a strong start to his Villa tenure, is of course best known for his days playing for the Red Devils' arch-rivals Liverpool.
There were interesting ties for Manchester City and Tottenham, who face Swindon Town and Morecambe respectively.
Meanwhile, record-winners Arsenal have a tricky trip to Nottingham Forest and Liverpool host League One Shrewsbury Town.
Holders Leicester, who beat Chelsea in last season's final, are set to entertain Watford and former manager Claudio Ranieri.
Below you can see the full third round draw for this season's FA Cup with confirmed kick-off times and talkSPORT coverage…
Monaco 
Stade Brestois 29 
Bordeaux 
Nimes 
Bayern Munich 
FC Augsburg 
Paris Saint Germain 
Toulouse 
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen