A method for withdrawing and filtering a partial volume of a particle-containing process fluid enclosed in a container, a combination of a container enclosing a process fluid and an assembly for continuously withdrawing and filtering a partial volume of a process fluid and a cross-flow filtering device are disclosed. The method, the assembly and the filtering device can be used in connection with biological process systems, in which the removal of sand, sludge, fibers and alike from partial volumes of the process fluid is necessary before additional filtration and subsequent sample analysis.