The Glovers left it late to put their name in the hat, with Jordan Green scoring in the 89th minute to earn a replay against Port Vale.
Darren Way’s side will battle for a place in the next stage of the competition, where clubs from the Premier League and Sky Bet Championship enter, on Tuesday, December 12th (7.45pm) at Huish Park.
Fans can watch the draw live on BBC 2 and BBC Sport 1 prior to the match between Slough Town and Rochdale (around 7.10pm).
BALL NUMBERS IN FULL
1 AFC Bournemouth
2 Arsenal
3 Aston Villa
4 Barnsley
5 Birmingham City
6 Bolton Wanderers
7 Brentford
8 Brighton
9 Bristol City
10 Burnley
11 Burton Albion
12 Cardiff City
13 Chelsea
14 Crystal Palace
15 Derby County
16 Everton
17 Fulham
18 Huddersfield Town
19 Hull City
20 Ipswich Town
21 Leeds United
22 Leicester City
23 Liverpool
24 Manchester City
25 Manchester United
26 Middlesbrough
27 Millwall
28 Newcastle United
29 Norwich City
30 Nottingham Forest
31 Preston North End
32 QPR
33 Reading
34 Sheffield United
35 Sheffield Wednesday
36 Southampton
37 Stoke City
38 Sunderland
39 Swansea City
40 Tottenham Hotspur
41 Watford
42 West Brom 43 West Ham
44 Wolves
45 Woking OR Peterborough United
46 MK Dons
47 Newport County
48 Wycombe Wanderers
49 Port Vale OR Yeovil Town
50 Shrewsbury Town
51 Doncaster Rovers
52 Slough OR Rochdale
53 AFC Wimbledon
54 Stevenage
55 Mansfield Town
56 Luton Town
57 Bradford City
58 Blackburn Rovers OR Crewe Alexandra
59 AFC Fylde OR Wigan Athletic
60 Gillingham OR Carlisle United
61 Notts County
62 Forest Green Rovers OR Exeter City
63 Fleetwood Town OR Hereford FC
64 Coventry City