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- McPake heads Dundee ahead early on
- Substitute Griffiths levels for visitors
- Celtic leave out Virgil van Dijk
There will also be highlights of yesterday's Scottish Premiership matches on the BBC Sport website from 18:00 BST. You can watch those highlights on Sportscene on BBC One Scotland at 22:25 BST.
Time for me to go, there'll be more reaction to today's match later on the BBC Sport website.
Celtic and Dundee are on seven points as league football takes a break to accommodate international fixtures.
Dundee goalscorer James McPake
"We had a good start. We were unfortunate not to come away with all three points."
Zax Crossley in Grangemouth: "What Celtic are playing at I don't know. They should have never brought Berget in. Mackay-Steven would have been a much better fit with our squad and he's Scottish would have picked up the vibe straight away."
Dundee extend their unbeaten run as Celtic go a fourth match without a win. A much better performance from the Scottish champions earned them a point but Dundee were impressive throughout a highly entertaining match.
Greig Kelbie: "Celtic have looked rank rotten the entire match. @BBCSportsound #bbcsportscot."
Two minutes of stoppage time being played.
Yet another chance for Dundee up their right-hand side and this time Luka Tankulic drags his shot across the face of goal.
Andy MacCormick: "I think Deila is a great manager. He just needs time. Given time, he'll be up there with McNeil, O'Neil and Stein."
Chris Cornwall: "People are saying Celtic are going backwards. I'm old enough to remember the Brady and Macari era. 20 years and counting players not good enough to play for the club. It's like history is repeating itself. I hope I'm wrong H H."
Kyle Letheren beats Leigh Griffiths' powerful shot out for a Celtic corner.
But now Celtic threaten and Anthony Stokes plays a one-two with Leigh Griffiths before firing against the outside of the post.
After sustaining a period of Celtic pressure, Dundee have been much more in the game in the last 10 minutes and will feel they should be ahead again.
A 25-yard strike from Dundee substitute Luka Tankulic flashes across the face of goal.
And another chance for Martin Boyle. The winger jumps over Jason Denayer's challenge and drags a shot inches wide of the Celtic goal.
Martin Boyle speeds away and fires in an angled shot from the right, forcing a fine save from Celtic goalkeeper Craig Gordon.
Into the last 15 minutes. Is there to be a winner?
Dundee get in on their right-hand side and Martin Boyle has a shot deflected wide by Jason Denayer. However, the officials award Celtic a goal kick, much to the hosts' frustration.
Gary Irvine makes a vital clearance deep inside the Dundee box after Kris Commons drills in a low cross.
Last substitution of the match. Nir Biton replaces Beram Kayal for Celtic.
Sportsound pundit Willie Miller at Dens Park
"Celtic have certainly upped the pace, much, much better in the second half. Dundee are struggling."
Kris Commons' corner is met by Eoghan O'Connell's glancing header but the Celtic defender's effort drifts wide.
Leigh Griffiths' first goal of the season brought Celtic level.
Martin Boyle replaces Philip Roberts for Dundee.
Kris Commons tries to loop a volley into the net but it's an easy catch for Dundee goalkeeper Kyle Letheren.
Chris Cassidy from Wakefield: "Berget is not good enough, Peter Lawell needs to admit he got it wrong Deila has had a shocker since day 1, badly beaten in Europe and now struggling in the league, this is near enough the same team that won the league last season, Deila is not the right man for this job."
Dundee captain Gary Irvine is cautioned for taking out Leigh Griffiths.
Around half-an-hour left at Dens Park.
Dundee make a double substitution. Simon Ferry and Luka Tankulic come on in place of Peter MacDonald and Gary Harkins.
Leigh Griffiths gets away a shot from around 19 yards and a deflection off Thomas Konrad carries the ball past goalkeeper Kyle Letheren
Emilio Izaguirre's shot is blocked in a crowded Dundee box. Much more forceful play from Celtic.
John in Dundee: "dundee looking like the dark blues of old, fearless and attacking!! Great game"
John in Manchester: "Lawell will never admit he got ht wrong. People in his position see admission as a sign of weakness & fear the backlash if seen to be negative. Another worrying day at the office."
Celtic have made a change at the break with defender Eoghan O'Connell on for Adam Matthews. Matthews has a calf injury.
Celtic begin the second half.
Second half coming up. Can Dundee claim a third straight victory or will Celtic end their run of three matches without a win?
James McPake's first-minute goal still separates the sides and Dundee deserve their lead after some forceful attacking place in the opening period. Celtic almost levelled on the stroke of half-time but they have struggled and manager Ronny Deila has already brought Leigh Griffiths on from the bench to change things up.
Kyle Letheren keeps Dundee ahead at the break as he tips over Anthony Stokes' swirling free-kick, which appeared to miss everyone as it bounced up from near the six-yard box.
Toniwater: "#bbcsportscot this is very poor from The Tic, serious questions need to be answered sooner rather than later! Worst Celtic side in years"
bringthemonjpn: "#bbcsportscot Dundee just need to keep pushing forward and the three points look good"
MBEHAN: "With VVD & Mulgrew there is no leadership in this Celtic side, Ambrose and Berget not good enough for SPFL never mind Europe #bbcsportscot"
As well as texting, you can get in touch via Twitter. The hashtag to use is #bbcsportcot.