Queensland 107 (Pyecroft 5-28) and 6 for 412 (Labuschagne 78, Neser 76*, Meredith 3-70) beat Tasmania 167 (Wade 63) and 353 (Bailey 109, Silk 54, Swepson 4-99) by four wickets
The Bulls were 6 for 271 when Sam Heazlett sliced Simon Milenko into the gully. Tasmania needed just four wickets for victory while the Bulls still needed 143, but Peirson and Neser produced 75 and 76 not out respectively to run down the monstrous target - the fifth highest successful chase in Shield history.
It was Neser's fourth half-century of the season and the 10th of his career, continuing his impressive form with the bat in the Bulls' lower order. He finished just one run shy of his highest first-class score. Peirson faced 169 balls for his unbeaten 75, his first fifty of the Shield season.
Earlier, Marnus Labuschagne added 20 to his overnight total before chopping on for 78.
Not long after, the Tigers took two wickets in three balls with Riley Meredith trapping Charlie Hemphrey plumb infront and then Alex Pyecroft zipping one back through Jack Wildermuth's gate.
But the flat fourth day Bellerive surface did not give much more support to the home side as Neser and Peirson completed the chase with more than an hour of play remaining.