Already-qualified Celtic concluded their Europa League Group D campaign with a free-scoring encounter at the Stadion Maksimir.
A far from full-strength Hoops side fell behind to Marko Pjaca's strike after 14 minutes before goals from Kris Commons and Stefan Scepovic had the visitors ahead.
However, Pjaca levelled with a deflected shot and he claimed his hat-trick five minutes after the break after the lead had been regained through Marcelo Brozovic, as Celtic rocked.
Dinamo defender Josip Pivaric put through his own goal with nine minutes remaining and Scepovic almost grabbed a late equaliser with a header.
However, when the final whistle sounded, Ronny Deila's side were left with eight points from six games.
The draw for the last-32 is next week and the Celtic boss had already admitted his side would need to improve if they were to go further in the tournament, a prediction confirmed against Dinamo.
However, the Scottish champions should be back at full strength by the next round in February, notwithstanding any players who come in or leave during the transfer window.
The threat of a suspension meant skipper Scott Brown was left in Glasgow along with James Forrest, who requires an increase in his fitness levels.
Dinamo's dismal European form - they could not finish above third - resulted in a sparse home crowd, which gave an eerie feel to an austere stadium.
There was a flare displayed among the 1,000 or so Hoops fans as the game got under way, which may have UEFA ramifications, but they made themselves heard in the early stages of what turned out to be an open if error-riddled first half that continued throughout the night.
Irish Independent
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