Bolstered by their unbelievable 8-0 thrashing over managerless Birmingham on Saturday, Bournemouth carried on their winning rampage at the sorry hands of West Brom.
The Cherries have previously seen off Cardiff, Exeter and Northampton to reach round four of the Capital One Cup, whereas Alan Irvine's side had to take Hull to extra-time in the previous round in order to reach this stage.
The Cherries approached their first final 16 tie wholeheartedly and provided a real threat on the West Brom goal who made 10 changes to the side that drew 2-2 with Crystal Palace on Saturday.
The first of a bunch of penalty appeals went in the favour of the home side as Craig Dawson appeared to handle the ball inside his own box but referee Paul Tierney waved away the claims.
However, justice was served shortly when Eunan O'Kane connected to a Junior Stanislas pass to drill the ball into the bottom corner.
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After the goal, West Brom began to apply severe amounts of pressure and had a penalty appeal of their own when Tommy Elphick slipped and handled the ball. But once again, the referee dismissed the opportunity of an equaliser.
The Baggies' pressure did eventually pay off and got their justice when Elphick diverted a Georgios Samaras delivery into his own net. With 5 minutes on the clock, West Brom looked to be heading towards a second successive extra-time.
But it was Callum Wilson's response which cancelled out the chance of another 30 minutes when he bundled the ball past goalkeeper Myhill to send the crowd at Goldsands into ecstasy, not even a minute after the West Brom fans could end their celebrations over the equaliser.
Never before have Bournemouth reached the quarter finals of the League Cup but thanks to 22-year-old forward Callum Wilson, Eddie Howe's side have made history. His manager said after the dramatic tie "to be honest, we got a bit of luck this evening but take nothing away from Cal. No matter how he's done it, he's put it in the back of the net and that's all that matters".
Alan Irvine's travelling side can now make the journey back to the Midlands without a ticket to the next round, but can concentrate on the league where they are struggling to find their feet as of yet.
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