It looked as though Town were heading for their first victory of the season after Joe Pigott and then Wes Burns found the net in quick fashion after the half-time break.
However, Ben Heneghan got one back for the visitors just a few minutes later before, deep into stoppage time, Jack Rudoni pounced to slam home the equaliser after the ball was spilled by Vaclav Hladky.
The result leaves Ipswich inside the relegation zone of what is still an embryonic League One table.
You can see 46 pictures from Saturday's game below.
Ipswich Town chief executive Mark Ashton signed 19 players during the 2021 summer transfer window. (Image: © Copyright Stephen Waller)
Town manager Paul Cook. (Image: © Copyright Stephen Waller)
Town manager Paul Cook retrieves the ball during the game. (Image: © Copyright Stephen Waller)
Crowds have been between 18,000 and 21,000 for Ipswich Town's opening three home league games. (Image: © Copyright Stephen Waller)
Hayden Coulson is fouled. (Image: © Copyright Stephen Waller)
Paul Cook says Kyle Edwards is available again following a four-game injury absence. (Image: © Copyright Stephen Waller)
Ipswich keeper Vaclav Hladky keeps his eyes on the ball. (Image: © Copyright Stephen Waller)
Kane Vincent-Young takes throw-in. (Image: © Copyright Stephen Waller)
Ipswich Town manager Paul Cook screaming instructions during his side's 2-2 home draw with AFC Wimbledon. (Image: © Copyright Stephen Waller)
AFC Wimbledon team manager Mark Robinson. (Image: © Copyright Stephen Waller)
Fans look on. (Image: © Copyright Stephen Waller)
Town fans enjoy the moment as players celebrate following Wes Burns goal to take them 2-0 up. (Image: © Copyright Stephen Waller)
Cameron Burgess, Wes Burns, Scott Fraser and Kyle Edwards - four of Ipswich Town's 19 summer signings. (Image: © Copyright Stephen Waller)
Scott Fraser battles with Will Nightingale. (Image: © Copyright Stephen Waller)
Joe Pigott is manhandled by Ben Heneghan. (Image: © Copyright Stephen Waller)
Luke Woolfenden heads the ball. (Image: © Copyright Stephen Waller)
Town fans applaud. (Image: © Copyright Stephen Waller)
Town fans applaud. (Image: © Copyright Stephen Waller)
Scott Fraser with a first half shot. (Image: © Copyright Stephen Waller)
Scott Fraser with a first half shot. (Image: © Copyright Stephen Waller)
Town fans react in disbelief as Jack Rudoni wheels away after his stoppage time equaliser for AFC Wimbledon. (Image: © Copyright Stephen Waller)
Cameron Burgess appeals to the referee after Jack Rudoni had equalised for AFC Wimbledon in stoppage time. (Image: © Copyright Stephen Waller)
Ipswich Town are yet to win at home this season. Cameron Burgess appeals to the referee after Jack Rudoni had equalised for AFC Wimbledon in stoppage time. (Image: © Copyright Stephen Waller)
The early signing of Rekeem Harper was an important one for Ipswich Town. (Image: © Copyright Stephen Waller)
Crestfallen Town players after AFC Wimbledon had equalised. (Image: © Copyright Stephen Waller)
AFC Wimbledon team manager Mark Robinson. (Image: © Copyright Stephen Waller)
Cameron Burgess pictured after Wimbledon had equalised in stoppage time. (Image: © Copyright Stephen Waller)
Scott Fraser pictured after AFC Wimbledon had equalised in stoppage time. (Image: © Copyright Stephen Waller)
Town manager Paul Cook cut a lonely figure as he headed towards the tunnel with his head down after being his side squander a 2-0 lead. (Image: © Copyright Stephen Waller)
Wes Burns crosses. (Image: © Copyright Stephen Waller)
Kane Vincent-Young fires in the ball. (Image: © Copyright Stephen Waller)
Kane Vincent-Young is challenged by Cheye Alexander. (Image: © Copyright Stephen Waller)
Ipswich Town striker Joe Pigott will be looking to stake his claim if selected for tonight's Papa John's Trophy match against Arsenal U21s. (Image: © Copyright Stephen Waller)
Scott Fraser and Kyle Edwards celebrate with Joe Pigott after he had given them the lead from the penalty spot. (Image: © Copyright Stephen Waller)
Town fans applaud after Joe Pigotts penalty. (Image: © Copyright Stephen Waller)
Wes Burns makes it 2-0. (Image: © Copyright Stephen Waller)
Wes Burns put Ipswich Town 2-0 up against AFC Wimbledon - but the match ended 2-2. (Image: © Copyright Stephen Waller)
Wes Burns makes it 2-0. (Image: © Copyright Stephen Waller)
Town fans celebrate going 2-0 up. (Image: © Copyright Stephen Waller)
Joe Pigott rises high to head the ball. (Image: © Copyright Stephen Waller)
Kane Vincent-Young appeals after going to ground falling a challenge by Cheye Alexander. (Image: © Copyright Stephen Waller)
Wes Burns goes down in the area as Town fans appeal, ahead of being awarded a penalty. (Image: © Copyright Stephen Waller)
Joe Pigott scores from the penalty spot. (Image: © Copyright Stephen Waller)
Scott Fraser celebrates with Joe Pigott after he had given Town the lead from the penalty spot against Wimbledon (Image: (C) Copyright Stephen Waller)
Scott Fraser shoots over the bar. (Image: © Copyright Stephen Waller)
Kyle Edwards chases after the ball. (Image: © Copyright Stephen Waller)
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