Tottenham Hotspur will host Watford, Southampton visit Everton and Wolverhampton Wanderers welcome Midlands rivals Leicester City in the other top-tier encounters.
Holders Manchester City will visit third-tier Oxford United while Manchester United host Frank Lampard's Derby County.
Arsenal, who were beaten by City in last year's final, face fellow London club Brentford.
Liverpool, who have won the trophy a record eight times, were also handed a tough Champions League draw on Thursday in a group with Paris St Germain, Napoli and Red Star Belgrade.
Tottenham have applied to the English Football League (EFL) to play their tie against fellow Londoners Watford at a neutral venue since Wembley, where they have been playing home matches while their new stadium is being constructed, is not available.
The third round ties are due to be played in the week beginning Sept. 24.
(Reporting by Toby Davis; Editing by Ken Ferris)
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