Apparatus and methods for processing an item, such as a lumened instrument, secured in a connectorless fashion in a push/pull reprocessor. The push/pull reprocessor includes a container having a first chamber and a second chamber and a pressure sensor in each chamber such that the method includes the step of generating a flow of a liquid, such as ozonated water, back-and-forth upon the item or additionally through a lumen in the case of a lumened instrument.