In the matches played at the Lelia Robinson Courts, Hydel stopped Quest 13-7 while Trafalgar secured a close victory, beating Dunrobin 7-6.
In the day's other games, opening-rally champions St Cyprian edged Bright Beginnings 14-12 in a close encounter while Our Lady of the Angels narrowly beat Portmore Missionary 11-10.
Action in the semi-final round continues today starting at 1:45 p.m., with Hydel facing Our Lady of the Angels, Portmore Missionary taking on Quest, St Cyprian's tackling Dunrobin and Trafalgar playing Bright Beginnings.