The competition will be held from November 23 to December 6 in Milton Keynes, Buckinghamshire, England.
Vahedi will start the competition with a match against Chinese snooker player Lyu Haotian on November 24.
Vafaei will also meet English player Billy Joe Castle on November 25.
Ronnie O'sullivan, who has won the tournament seven times, more than any other player, will participate in the prestigious event.
Prize money
Winner: £200,000
Runner-up: £80,000
Semi-finals: £40,000
Quarter-finals: £24,500
Last 16: £17,000
Last 32: £12,000
Last 64: £6,500