The Clarets are still seven points clear of the relegation zone with seven games left to play, but missed out on a golden opportunity to essentially rubber stamp their safety after throwing away a lead against a team in the bottom half of the table for a second week running.
Speaking after the match, manager Sean Dyche said: "I'm not disappointed in the performance because it was very dominant, but disappointed you don’t get anything from the game.
"That's football, you have to turn the key moments in your favour.
"We didn’t get the second goal, that was important, I felt, despite creating enough to get a second.
"And then two relatively soft goals, certainly the first one we don't deal with, we don't get in the line of the shot and make a block, which we normally do.
"The second we get too deep, too early, and that allows the lad to show a bit of talent.
"Disappointed in that, but not the performance overall."
Dyche’s men come up against Manchester United at Old Trafford in their next top flight outing on Sunday.
The Clarets were edged out 1-0 when the two sides met earlier this season, with Paul Pogba scoring the winner at Turf Moor.
Here are today's biggest transfer stories and the latest team news involving Burnley and the rest of the Premier League, as the reaction to last weekend's action continues:
1. Aguero could still join Leeds
Sergio Aguero has not closed the door on a potential move to Leeds United this summer. (Mundo Deportivo) (Photo by Gareth Copley/Getty Images)
Photo: Gareth Copley
2. Bielsa touted for Napoli job
FIFA agent Massimo Grillo believes Leeds United manager Marcelo Bielsa would be a great fit for Napoli club. He said: “I am a great admirer of Bielsa, currently on the Leeds bench he is a coach who has a very spectacular game system. I would see him really well on the blue bench, I am convinced that he would show captivating football.” (Per Sempre Napoli) (Photo by Tim Keeton - Pool/Getty Images)
3. Toon close in on ex-Gunner
Newcastle United are closing in on the signing of rising star Shaun Mavididi following his exit from Arsenal. (Football Insider) (Photo by Stu Forster/Getty Images)
Photo: Stu Forster
4. BURNLEY, ENGLAND - APRIL 11: Jacob Murphy of Newcastle celebrates his goal with Federico Fernandez during the Premier League match between Burnley and Newcastle United at Turf Moor on April 11, 2021 in Burnley, England. Sporting stadiums around the UK remain under strict restrictions due to the Coronavirus Pandemic as Government social distancing laws prohibit fans inside venues resulting in games being played behind closed doors. (Photo by Stu Forster/Getty Images)
Southampton, Rangers, and Watford are interested in the summer signing of Newcastle winger, Jacob Murphy. (Football Insider) (Photo by Stu Forster/Getty Images)
Photo: Stu Forster