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With both Manchester clubs drawn to face each other in the first semi-final, Stoke came up against the Trotters, with whom they were locked in a mid-table battle in the league at the time.
Stoke needed just over 10 minutes to open the scoring in their last-four clash as a poor clearance from Paul Robinson handed Matthew Etherington the ball on the edge of the box, leaving the winger to blast a powerful finish into the corner.
The lead was soon doubled when Gary Cahill tried to head the ball clear, but it only got as far as Robert Huth, leaving the defender to pick up a rare goal with a first-time hit past Jussi Jaaskelainen.
Pulis's side made it three on the half-hour mark when Jermaine Pennant took the ball off Martin Petrov before sliding it into the box for Kenwyne Jones, who was left to slot it home after Cahill failed to intercept the pass.
Jones was on the hunt for a second early in the second half as the Potters sensed a chance to run the score up, but Jaaskelainen denied the striker.
Jonathan Walters started to look dangerous going forward too, and he rifled home a fourth after making a solo run from midfield before blasting in a low finish from outside the box.
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Despite their comfortable winning margin, Stoke pushed forward again inside the final 10 minutes, and emphatically sealed the victory when Jones's cross was deflected into the path of Walters, leaving him to tap in for his second of the match.
Although Stoke were unable to replicate their free-scoring display against Man City a few weeks later, the victory did secure European football, as City's Champions League qualification left the Potters with the Europa League spot.
Stoke made it back to the quarter-finals the following season but were unable to secure another Wembley trip, and have not progressed beyond the fifth round since.