Vafaei defeated He Guoqiang from China 5-2 in the sporting event.
In the semifinals, Vafaei will compete with Welsh legend Mark Williams.
He had defeated English snooker player Oliver Brown 4-2, Yuan Sijun of China 4-2, and Graeme Dott from Scotland 4-2 in his previous matches.
The competition runs from September 25 to October 1.
The Centaur at Cheltenham Racecourse hosts the third world ranking event of the 2023-24 season, with Ryan Day defending the Clive Everton Trophy against many of snooker’s biggest stars.
World No.1 Ronnie O’Sullivan has withdrawn from the tournament due to medical reasons.
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