Speaking after the game, Clarets boss Sean Dyche' s lamented his side's inability to finish off their chances, after causing the Citizens some problems at the back on more than one occasions.
He said: “It's frustrating, it's the hardest thing to coach, the moment of truth - as a manager we want to get them in the right areas and produce chances, but the moment of truth is someone putting it in the back of the net, and it's the hardest thing to coach.
“But we have players here, I believe, that will do that.“We had a tough start last season, not just in the league table, but with chances as well, and we weren't creating as much, but we started creating and taking chances, and the whole thing took off again.
“Now, it's not waiting for that to happen, we have to make it happen, and there were clear signs of that, to come to a place like this, we are trying to make it happen.”
Next up, the Clarets will look to bounce back next Saturday afternoon, when they travel to take on Southampton at St Mary's in what should be a fiercely-fought contest between two well-matched sides.
Take a look at all the latest news from the Premier League, as the reaction to last weekend's exhilarating action continues:
1. Barca could struggle to afford Sterling
Manchester City have reportedly set an asking price of over £67m for forward Raheem Sterling, amid links with La Liga giants Barcelona. Reports from Spain suggest his valuation makes it "very complicated" for the club to pursue a deal. (Marca)
Photo: Alex Livesey
2. Buendia tipped to fill Grealish void
Noel Whelan has suggested Aston Villa's attacking midfielder Emi Buendia can be as influential a player as their former star Jack Grealish, following another impressive display last weekend. He joined the club for £33m last summer, as part of a spending spree funded by Grealish's sale. (Football Insider)
Photo: Alex Morton
3. Simeone lauds Liverpool star
Atletico Madrid boss Diego Simeone has labelled Liverpool's Mohamed Salah an "extraordinary player", ahead of the two sides' Champions League clash this evening. The Egyptian ace has scored seven goals and made four assists in eight Premier League games so far this season. (BBC Sport)
Photo: Justin Setterfield
4. Juventus ace could make Premier League move
Football super agent Mino Raiola is said to be looking to move his client Matthijs de Ligt to the Premier League, amid both Chelsea and Man City being linked with the Juventus ace. He's under contract his current club until 2024. (CalcioMercato)
Photo: Valerio Pennicino