He could have suffered defeat at St Andrew's, but Wade Elliott missed a late chance for Birmingham.
The draw leaves Ince still waiting for his first win since taking charge at Bloomfield Road last month, with both sides hovering five points above the drop zone.
Paul Ince's Blackpool record
Birmingham (a) D1-1
Bristol City (h) D0-0
Leicester (h) D0-0
Leeds (a) L0-2
Ince's son Tom found the side netting with just over a minute on the clock as both sides looked to stamp their authority on the game.
The England Under-21 international was looking particularly lively and was only denied by a great last-ditch tackle by Mitch Hancox, before Davies cleared off the line and then keeper Jack Butland got behind a solid strike from the corner of the area.
Peter Lovenkrands had a great chance just after the half-hour mark, latching on to Nikola Zigic's flick to beat keeper Matt Gilks only to see his effort roll across the face of goal.
Butland dropped a deep cross but redeemed himself by producing a great reflex save to keep out Gary Taylor-Fletcher, before Matt Phillips drilled narrowly wide from distance.
But then just as the first half looked set to end goalless, Davies found plenty of space to head in Chris Burke's deep corner.
Zigic blazed over a great chance to double City's advantage within minutes of the restart after Gilks had dropped Hancox's long free-kick.
Birmingham then came within inches of a second as Lovenkrands latched onto a Paul Caddis ball forward and checked before firing off a shot which hit the inside of a post, rolled across the line and out.
But Blackpool then drew level as Broadfoot nodded home from Eardley's corner.
The hosts were presented with a golden opportunity to win it in the 87th minute but substitute Elliott somehow blazed well over the bar with the goal at his mercy from Burke's low cross.
Birmingham manager Lee Clark:
"I think we deserved to win the game. It was a nervy start for the first 15-20 minutes but we grew into the game and finished the half really strongly. We could have been more than one-nil up.
"And then we started the second half really well too. Unfortunately we couldn't get that decisive second goal and then they score a very similar goal to us from a set-play.
"It's a bit frustrating really. We've played with a lot of desire, tenacity and at a high tempo."
Blackpool manager Paul Ince:
"It would be nice to get a win but I've only been here two weeks. Apart from the Leeds game, we've got three draws and we're building blocks at the moment.
"It's never easy coming to St Andrew's, especially with their crowd and when they're winning 1-0, but we showed great character and great endeavour to get back into the game.
"They could have won it - and maybe should have won it at the end with Wade Elliott. But that would have been a bit unjustified."
Full Time The referee blows his whistle to end the game.
Corner taken right-footed by Christopher Burke from the left by-line, Marko Futacs makes a clearance.
Wes Thomas has an effort at goal from close range which goes wide right of the goal.
Christopher Burke takes the inswinging corner, Header by Nikola Zigic from deep inside the penalty area misses to the right of the target.
Jonathan Spector has an effort at goal from just inside the box that misses to the right of the goal.
Wade Elliott produces a right-footed shot from close range that goes over the bar.
Shot from long distance by Neal Eardley goes wide of the left-hand post.
Foul by Wes Thomas on Gary MacKenzie, free kick awarded. Free kick taken by Matt Gilks.
Jack Butland takes the indirect free kick.
Substitution (Birmingham) makes a substitution, with Wes Thomas coming on for Peter Lovenkrands.
Nathan Delfouneso is flagged offside by the assistant referee.
Christopher Burke sends in a cross, Peter Lovenkrands takes a shot. Save by Matt Gilks.
Nikola Zigic gives away a free kick for an unfair challenge on Kirk Broadfoot. Direct free kick taken by Kirk Broadfoot.
Nathan Delfouneso is ruled offside. Jack Butland takes the indirect free kick.
Neal Eardley provided the assist for the goal.
73:04 Goal scored
Goal! - Kirk Broadfoot - Birmingham 1 - 1 Blackpool Kirk Broadfoot finds the back of the net with a headed goal from close range. Birmingham 1-1 Blackpool.
Inswinging corner taken from the left by-line by Neal Eardley,
Substitution Nathan Delfouneso comes on in place of Matt Phillips.
Inswinging corner taken by Neal Eardley, Curtis Davies makes a clearance.
Centre by Stephen Crainey, clearance by Shane Ferguson.
Free kick taken by Matt Gilks.
Substitution Mitch Hancox leaves the field to be replaced by Wade Elliott.
The assistant referee signals for offside against Peter Lovenkrands.
Corner from the right by-line taken by Christopher Burke, clearance by Matt Phillips.
The ball is swung over by Stephen Crainey, clearance by Curtis Davies.
Kirk Broadfoot concedes a free kick for a foul on Nikola Zigic. Mitch Hancox takes the direct free kick.
Corner taken by Christopher Burke.
Christopher Burke produces a right-footed shot from close in that clears the bar.
Christopher Burke takes a shot. Save made by Matt Gilks.
Paul Robinson gives away a free kick for an unfair challenge on Tom Ince. The free kick is swung in left-footed by Tom Ince, clearance made by Callum Reilly.
Substitution Ludovic Sylvestre joins the action as a substitute, replacing Angel Martinez.
Peter Lovenkrands produces a left-footed shot from inside the area and strikes the post.
A cross is delivered by Stephen Crainey, clearance by Paul Robinson.
The ball is crossed by Paul Caddis, Neal Eardley concedes a free kick for a foul on Callum Reilly. Shot comes in from Christopher Burke from the free kick, Effort from the edge of the box by Callum Reilly goes wide of the right-hand upright.
Tom Ince takes a inswinging corner from the right by-line played to the near post, Close range headed effort by Marko Futacs goes wide of the left-hand post.
Effort from the edge of the box by Nikola Zigic goes wide of the left-hand upright.
Jonathan Spector fouled by Matt Phillips, the ref awards a free kick. Mitch Hancox restarts play with the free kick.
The referee gets the second half underway.
45:00 +3:22 Half time
Half Time The ref blows to end the first period.
Foul by Tom Ince on Paul Robinson, free kick awarded. Jack Butland takes the direct free kick.
Centre by Christopher Burke, Close range effort by Nikola Zigic misses to the left of the goal.
Marko Futacs produces a right-footed shot from the edge of the box and misses to the right of the goal.
Assist by Christopher Burke.
44:55 Goal scored
Goal! - Curtis Davies - Birmingham 1 - 0 Blackpool Curtis Davies grabs a headed goal from close range. Birmingham 1-0 Blackpool.
Inswinging corner taken from the left by-line by Christopher Burke,
Right-footed shot by Jonathan Spector went wide of the left-hand post.
Effort from 35 yards by Matt Phillips went wide of the right-hand upright.
Paul Caddis produces a cross, Gary MacKenzie makes a clearance.
Matt Phillips is flagged offside by the assistant referee. Indirect free kick taken by Jack Butland.
Substitution Gary Taylor-Fletcher leaves the field to be replaced by Marko Futacs.
Peter Lovenkrands challenges Gary MacKenzie unfairly and gives away a free kick. Matt Gilks takes the direct free kick.
Corner taken right-footed by Neal Eardley from the left by-line, Peter Lovenkrands makes a clearance.
Neal Eardley crosses the ball, Gary Taylor-Fletcher takes a shot. Save by Jack Butland.
Peter Lovenkrands produces a left-footed shot from close range which goes wide of the right-hand upright.
Christopher Burke produces a right-footed shot from just outside the box that goes wide right of the target.
Paul Robinson takes the free kick.
Booking Neal Eardley goes into the book for unsporting behaviour.
Neal Eardley gives away a free kick for an unfair challenge on Peter Lovenkrands.
Callum Reilly challenges Matt Phillips unfairly and gives away a free kick. Neal Eardley takes the direct free kick.
Corner from right by-line taken by Christopher Burke.
Paul Caddis sends in a cross, clearance made by Kirk Broadfoot.
Shot from just outside the penalty box by Peter Lovenkrands misses to the left of the target.
Free kick awarded for a foul by Gary MacKenzie on Nikola Zigic. Paul Caddis takes the free kick.
Free kick awarded for an unfair challenge on Mitch Hancox by Matt Phillips. Paul Robinson takes the direct free kick.
A cross is delivered by Nikola Zigic, save by Matt Gilks.
Christopher Burke crosses the ball.
Peter Lovenkrands concedes a free kick for a foul on Neal Eardley. Kirk Broadfoot restarts play with the free kick.
Free kick awarded for an unfair challenge on Gary Taylor-Fletcher by Paul Robinson. Direct free kick taken by Neal Eardley.
Mitch Hancox delivers the ball, Nikola Zigic produces a header from deep inside the six-yard box which goes wide of the right-hand upright.
The ball is swung over by Peter Lovenkrands, clearance by Stephen Crainey.
Inswinging corner taken left-footed by Tom Ince from the right by-line to the near post, Mitch Hancox manages to make a clearance. Tom Ince takes a shot. Save made by Jack Butland.
Tom Ince takes a shot. Curtis Davies makes a clearance.
Stephen Crainey gives away a free kick for an unfair challenge on Christopher Burke. Paul Caddis takes the direct free kick.
A cross is delivered by Paul Caddis, Nikola Zigic takes a shot. Save by Matt Gilks.
Matt Phillips takes a shot. Curtis Davies gets a block in.
A cross is delivered by Tom Ince, clearance made by Curtis Davies.
The ball is delivered by Paul Caddis, Barry Ferguson makes a clearance.
Effort from the edge of the area by Tom Ince goes wide of the right-hand upright.
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