Liverpool drops another point this week as Burnely fought hard to get a well deserved away 1-1 draw at Anfield on Saturday.
Philippe Coutinho made his first start of the season after he was denied a move to Barcelona in the summer.
Scott Anfield gave the visitors an early lead in the 27 minutes, but the Merseysiders responded within three minutes as Emre Can released Mo Salah, who cut inside to slot home a low finish.
Although Liverpool dominated the second-half but Burnley held on to maintain their unbeaten run away from home.
The Clarets have now picked up five points from trips to Chelsea, Tottenham Hotspur and Liverpool this season.