Scott Parker's team endured long spells without the ball but their point earned at Stamford Bridge owes to a committed defensive display and a brilliant set-piece from James Ward-Prowse.
The likes of Joe Worrall, Maxime Esteve and Bashir Humphreys all made goal-saving interventions when blocking shots from Cole Palmer and Joao Pedro.
It also left goalkeeper Martin Dubravka not as busy as he would have otherwise expected to be in west London, although he had to be alert coming for crosses into the box.
"The player showed a real resilience to go a goal down early but stay in the game," Parker said at Stamford Bridge. "We grew into the first half, and are maybe frustrated we weren't able to get all three points."
That frustration will come after Ward-Prowse delivered two almost identical set-pieces – the first was a perfect delivery for Zian Flemming's goal but Jacob Bruun Larsen could not score from an identical chance.
Parker added: "[Ward-Prowse] had real quality – he is a real set-piece specialist. When you want to deliver a ball, you know where it is going. All the set-piece coaches can do the best blocks or runs but with James it is pretty easy because you know if it is delivered on the money then you have a chance."
Of course, Chelsea's red card helped them swing the momentum but resilience gave Burnley their foundations for the draw.
"The longer you stay in the game, the more the confidence grows," goalscorer Flemming added. "The red card is a significant moment because at that moment we could really attack and put them under pressure. We did that really well."
