Reyes beat Francisco Hernandez, 10-8, in the Last 16 then foiled Danny Harriman, 10-7, in the quarterfinals to gain a chance to avenge his loss to Williams in last Sundays finals of the New York tourney.
Williams disposed of Nick Varner, 10-8, and Niels Feijen, 10-4, to advance to the next round.
But while Reyes advanced, compatriot and buddy Francisco "Django" Bustamante, winner of the recent International Challenge to Champions, fell by the wayside when he absorbed a 7-10 loss to Tony Robles in their Last 16 duel.
But Robles failed to pull through in the next round and took an 8-10 setback from Max Eberle, who will be facing veteran Johnny Archer in their own side of the semis duel.
Archer defeated reigning world 9-ball champion Thorsten Hohmann, 10-6.