A method for producing a hollow injection-moulded part (100, 100a) in the form of a primary packaging means for medical applications by an injection moulding method comprising the following method steps: a) Providing a first female die tool having a first mould cavity and a mould core formed as a male die tool; b) Introducing the mould core into the first mould cavity, so that a first cavity is formed and the mould core protrudes beyond the mould cavity in axial direction, thereby the mould core is brought into operative contact with the first female die tool and/or with a receiving element; c) Injecting a first plastic material into the first cavity, so that a first portion of the injection-moulded part (100, 100a) is formed; d) Transferring the first portion of the injection-moulded part (100, 100a) to a second cavity; e) Injecting a second plastic material into the second cavity, so that a second portion is formed directly on the first portion of the injection-moulded part (100, 100a), wherein the first portion and the second portion form the hollow primary packaging means in the form of a syringe body,, wherein the first portion at least partially corresponds to a container for the medium, wherein the second portion corresponds to a connection element or a connection element and a portion of the container, wherein the connection element has an outlet opening which is connected to the container, wherein the mould core has a first end portion and a second end portion, wherein the second end portion is in operative contact with the first female die tool and/or with the receiving element as well as with the second cavity, wherein the operative contact is a thermal contact, wherein a tempering of the mould core occurs both via the first end portion and the second end portion. a) Providing a first female die tool having a first mould cavity and a mould core formed as a male die tool; b) Introducing the mould core into the first mould cavity, so that a first cavity is formed and the mould core protrudes beyond the mould cavity in axial direction, thereby the mould core is brought into operative contact with the first female die tool and/or with a receiving element; c) Injecting a first plastic material into the first cavity, so that a first portion of the injection-moulded part (100, 100a) is formed; d) Transferring the first portion of the injection-moulded part (100, 100a) to a second cavity; e) Injecting a second plastic material into the second cavity, so that a second portion is formed directly on the first portion of the injection-moulded part (100, 100a), wherein the first portion and the second portion form the hollow primary packaging means in the form of a syringe body,, wherein the first portion at least partially corresponds to a container for the medium, wherein the second portion corresponds to a connection element or a connection element and a portion of the container, wherein the connection element has an outlet opening which is connected to the container, wherein the mould core has a first end portion and a second end portion, wherein the second end portion is in operative contact with the first female die tool and/or with the receiving element as well as with the second cavity, wherein the operative contact is a thermal contact, wherein a tempering of the mould core occurs both via the first end portion and the second end portion.