An appliance comprising a dispensing system and a downstream assembly , wherein the dispensing system is configured for dispensing fluid to the downstream assembly , the dispensing system comprises: a housing defining a chamber ; a piston movable within the chamber of the housing between a first position (P1) and a second position (P2), the piston fluidly separating a first reservoir (R1) and a second reservoir (R2) of the chamber ; a first inlet conduit configured to be in fluid communication with a water supply and the first reservoir (R1) of the chamber ; a first valve positioned along the first inlet conduit and movable between an open position and a closed position, the first valve configured to selectively allow fluid to flow from the water supply to the first reservoir (R1) of the chamber ; a second inlet conduit configured to be in fluid communication with the water supply and the second reservoir (R2) of the chamber ; a second valve positioned along the second inlet conduit and movable between an open position and a closed position, the second valve configured to selectively allow fluid to flow from the water supply to the second reservoir (R2) of the chamber ; a first outlet conduit in fluid communication with the first reservoir (R1) of the chamber and the downstream assembly ; a third valve positioned along the first outlet conduit and movable between an open position and a closed position, the third valve configured to selectively allow fluid to flow from the first reservoir (R1) to the downstream assembly ; a second outlet conduit in fluid communication with the second reservoir (R2) of the chamber and the downstream assembly ; and a fourth valve positioned along the second outlet conduit and movable between an open position and a closed position, the fourth valve configured to selectively allow fluid to flow from the second reservoir (R2) to the downstream assembly , characterized in that the downstream assembly is an ice making assembly and the appliance is a refrigerator appliance. a housing defining a chamber ; a piston movable within the chamber of the housing between a first position (P1) and a second position (P2), the piston fluidly separating a first reservoir (R1) and a second reservoir (R2) of the chamber ; a first inlet conduit configured to be in fluid communication with a water supply and the first reservoir (R1) of the chamber ; a first valve positioned along the first inlet conduit and movable between an open position and a closed position, the first valve configured to selectively allow fluid to flow from the water supply to the first reservoir (R1) of the chamber ; a second inlet conduit configured to be in fluid communication with the water supply and the second reservoir (R2) of the chamber ; a second valve positioned along the second inlet conduit and movable between an open position and a closed position, the second valve configured to selectively allow fluid to flow from the water supply to the second reservoir (R2) of the chamber ; a first outlet conduit in fluid communication with the first reservoir (R1) of the chamber and the downstream assembly ; a third valve positioned along the first outlet conduit and movable between an open position and a closed position, the third valve configured to selectively allow fluid to flow from the first reservoir (R1) to the downstream assembly ; a second outlet conduit in fluid communication with the second reservoir (R2) of the chamber and the downstream assembly ; and a fourth valve positioned along the second outlet conduit and movable between an open position and a closed position, the fourth valve configured to selectively allow fluid to flow from the second reservoir (R2) to the downstream assembly , characterized in that the downstream assembly is an ice making assembly and the appliance is a refrigerator appliance. <EOS>