A refillable dispenser of fluid material includes a flexible container having a fluid dispensing portion and a displacement fluid receiving portion spaced from the fluid dispensing portion. A cap is removably fastened to the container for closing an opening at the displacement fluid receiving portion. A cartridge is disposed in the container and contains fluid material to be dispensed. The cartridge includes an expansible bladder and may include a collar member connected to the bladder. A support post may be supported in the container and received by the collar member. A first flow restrictor allow flow of displacment fluid only from outside the container into an interior of the bladder. A second flow restrictor allows flow of material only from within an interior portion of the container external to the bladder to outside the container. Another feature is a cartridge for refilling a dispenser of fluid material.