The match was being played on neutral turf as Carlisle used Bloomfield Road as their temporary home due to floods in Cumbria.
The Cumbrians took the lead through Danny Grainger’s 25th-minute free kick and Yeovil almost levelled moments later as Tahvon Campbell’s close range effort was saved and Liam Walsh’s follow-up went wide.
Town levelled with 19 minutes remaining of the tie when Francois Zoko headed past Dan Hanford to net against his former club.
Carlisle retook the lead when centre-back Mark Ellis nodded in from six yards but Shaun Jeffers took things to a replay with a low shot in the 93rd minute.
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Advent Calendar Day One: YTFC’s Number One
Advent Calendar Day Two: Daryl Allinson
Advent Calendar Day Three: YTFC 2-1 Crawley Town
Advent Calendar Day Four: ‘What A Strike!’
Advent Calendar Day Five: A Year In Charge
Advent Calendar Day Six: Nostalgia Mode
Advent Calendar Day Seven: Play-Off Classic
Advent Calendar Day Eight: The 1949 Giant Killers
Advent Calendar Day Nine: Tom Eaves’ Goals
Advent Calendar Day Ten: Comeback Kings
Advent Calendar Day 11: Penalty Practice
Advent Calendar Day 12: YTFC’s 12th Man
Advent Calendar Day 13: Treize Buts Pour Francois
Advent Calendar Day 14: Happy Birthday Ryan!
Advent Calendar Day 15: Smith Tries To Recreate His First Goal
Advent Calendar Day 16: YTFC Giveaway
