Speaking after that game, Blues boss Antonio Conte praised the Clarets for their work ethic and explained that there are three factors that make Turf Moor such a hard place to visit. We've still been playing strong sides.
Indeed, it's not just Chelsea who have struggled there this season.
Sean Dyche insists he will continue to take the FA Cup seriously as Burnley prepare to face non-league Lincoln City on Saturday.
While Gillingham might have suffered the embarrassment of an FA Cup giant-killing, one of the club's former youth players has been busy dishing them out.
The Imps have been on a wondrous cup run this season, having already beaten Championship sides Brighton and Ipswich, as well as League One Oldham.
Lincoln may be the second-lowest ranked team left in the competition, but Burnley will be by no means underestimating them.
Despite losing striker Theo Robinson, who scored twice against Ipswich as well as bagging against Brighton, Lincoln's squad has been boosted by a couple of loan signings: striker Dayle Southwell from League Two Wycombe Wanderers, midfielder Billy Knott from League One Gillingham, and Brighton winger Joe Ward has had his loan extended.
"The thing I've been pleased about is when we do mix the side it still looks like what we're about, there's still an identity to what we do".
"If we're realistic, we'd probably only beat them once in a hundred times but we've to go into the game believing this is that one game, that one opportunity, in a hundred because without belief we have nothing".
If this game was being played at Sincil Bank, there would certainly be a different feel about it, but at fortress Turf Moor it's perhaps no surprise to see the home side come in as overwhelming favourites at [1.34].
Goalkeeper Nick Pope has played in their previous FA Cup games, and could feature again on Saturday.
"People have written us off for the last three FA Cup ties so we've got nothing to fear, although we'll be mindful of their good players". They also have goals from all over the pitch - of the 17 Imps players to have hit the back of the net this season, six have five or more. Manager Sean Dyche attended last week's 3-2 home win against Woking, and for Burnley it represents a good chance to progress to the next round and move closer to European football.
Burnley will be without midfielder Jeff Hendrick, who is serving a three-game ban after his red card against Watford. He also oversaw Burnley's 4-1 win over Sunderland on New Year's Day earlier this season.
Lincoln have won seven of their last eight games in all competitions (L1), winning each of the last four.