The invention relates to a connector system for connecting a withdrawal device to a container for a medical fluid, in particular for a rinsing solution, comprising a first withdrawal port and a second withdrawal port which are each designed for a withdrawal of the medical fluid from the container, wherein the first withdrawal port and the second withdrawal port are designed differently and each is sealed by a resealable membrane and a break-away cap. This has the advantage that the user no longer needs to modify the withdrawal port in order to be able to use it with the available withdrawal devices. It is also no longer necessary to keep on hand rinsing solution containers with different withdrawal ports. In addition, the ports can be provided in a sterile state.
