The Clarets held the lead twice against Brendan Rodgers' side, but had to settle for a draw after Jamie Vardy's late goal levelled things up, and Chris Wood's last gasp effort was ruled out for offside by VAR.
Speaking after the game, Burnley boss Sean Dyche said: “I'm not bothered what it feels like; the realities are the realities. Deserving points and actually getting them means nothing at the end of the season. You've got to get the points on the table whether you deserve them or not.
“You can't 'luck out' in the Premier League every week There is no naivety in my world of football, neither with the players', they know they have got to turn these into wins.
“We didn't see the game through, we nearly won it at the end, we conceded two very soft goals from our point of view, among some individual and collective defensive moments.
He added: “We created chances, there was a good energy to the side, a good framework to the side, so a lot to be generally pleased with."
I'd prefer to deserve something, then build on it, and turn it into wins, but we're actually performing at a reasonable level. I would take that but, equally, I would take a scruffy 1-0. If we have to take a scruffy, ugly one to win, then we'll take it.
“In attack we are creating chances and that is pleasing in a way and we have to make sure that balance is right and with these decent performances, turn them into wins.”
Take a look at the latest news round-up from the Premier League, as the reaction to the weekend's action continues: