Connector systems for a fluid container for pharmaceutical solutions are disclosed. The systems include an outer part adapted for insertion into a fluid conducting system and an inner part arranged in said outer part. The outer part includes a tamper-evident closure connected thereto at a predetermined breaking point that can be manually removed. An external side of the inner part abuts an internal side of the outer part. A closure element attached to the inner part prevents a flow of fluid through the inner part. The inner part and the outer part having provided thereon at least one fluid conducting element, such as a furrow, a flute, a depression or a groove. Medical supply systems comprising a bag, such as a dialysis bag, having such systems are also described.
