The result leaves The Clarets in search of their first three points of the season despite a good, defensive performance.
Story of the game
Both teams saw plenty of the ball in the opening 10 minutes, with Nick Pope claiming a cross from the left well before Theo Walcott found himself in acres of space inside the box but his cut back was cleared by Charlie Taylor.
But it was Burnley who got their noses in front first, and somewhat against the run of play.
The Albanian couldn’t get the ball out of his feet before James Tarkowski was able to make the block, before Nathan Collinsdenied the Saints striker minutes later.
Southampton kept the pressure on as the half hour mark approached, with Collins having to hook Livramento’s cross away for a throw, and Moi Elyounoussi saw his header clip the outside of the post.
Burnley held firm and produced a chance for themselves through Chris Wood.
Cornet found McNeil who slipped it into the New Zealand striker who forced a smart save from Alex McCarthy.
Moments later and the hosts broke but Walcott stabbed his effort wide from 12 yards.
Then Nathan Redmond missed an open goal from three yards after great work from Broja before Livramento struck the post, but the equaliser came four minutes before half time.
The former Chelsea full back was left free in the box to head home himself from Redmond’s corner, completely making up for his part in the visitors’ opener.
An entertaining first half drew to a close with Southampton on top for the majority of the first half.
The second half started as the first finished – with The Saints on top.
And they took the lead five minutes after the restart after Tarkowski gave the ball away near his own goal.
His little turn in his box invited pressure and his pass dropped to Ibrahima Diallo before he released Broja to grab his second goal in as many games with a classy finish.
Diallo then fired wide from 25 yards after Jack Cork gave the ball away in the middle of the park as the hosts looked to kill the game.
But Burnley were not behind for long, though as Cornet smashed home a bouncing half-volley from 20 yards after Ashley Westwood’s knockdown.
Cornet had to be replaced with an injury and his replacement, Johann Berg Gudmundsson couldn’t get on the end of a great ball across the box from Wood.
Livramento smashed the ball over the bar just after before Diallo stung the palms of Pope as the hosts pressed for the winner.
Neither side could find their third of the game, with Southampton probably feeling they should have won the game.
Takeaways from the game
Livramento is a star in the making
The right back was a thorn in the side all day long and forced Burnley deeper and deeper, especially in the first half.
He was the outlet today and everything was going through him for the Saints for a large part of the game.
He could have scored himself on a couple of occasions and created a few good chances for others and was full of energy.
Defensively, Livramento is a bit raw, with his poor positioning allowing Cornet to head home in the early knockings of the game.
But, from then on, he grew into the game and was the star of the show today, and it won’t be long until he is a real star in this league.
Burnley earned their point
The Clarets weren’t at their best today, but they worked hard for that point this afternoon.
It is more points dropped from a winning position but Sean Dyche will not be too aggrieved by that performance today.
The hosts were on top for large parts but Burnley sat in and were resolute.
Defensively, a Burnley team is always tricky to break down and the two centre backs - Tarkowski and Collins – made a number of blocks in the box with Pope seemingly getting some of his form back.
Counter attacking seemed to be the way the visitors were trying to get ahead in the game and, if it wasn’t for some persistent, tactical fouling, it might have paid off more than it did.
Cornet looked brilliant but him staying forward allowed Livramento to have more joy down that side, that balance is something Burnley will need to work on.
Draw probably the fair result
Southampton had the lionshare of the chances and the ball, and looked more likely to grab the winner at the end.
But the chances they had - besides Redmond's sitter - were half chances.
The Clarets were good at the back for the most part and looked exciting when they were going forward.
With Cornet going off injured, they lost that impetus but he really has added a new flair to this team.
Both sides worked hard for their two goals and had to defend well at times too.
Today was a good opportunity for either side to a lay a marker down for their seasons, but they matched each other throughout.
Saints sit 16th with just the one win to their name, but that is four points ahead of winless Burnley.
They are still searching for that elusive first victory, and sit 19th in the Premier League table after nine games.