Hi FF96,
The LGA775 CPU socket was in widespread use for quite a while and just because it fits in the motherboard socket does not mean it will actually work and be supported with the current chipset and other supporting hardware. I am in the US so I am not familiar with Fujitsu Siemens computers, I searched Google and I found a spec sheet (Which I think is what you have). There is also sometimes a CPU power limitation and being a pre-built computer this can be a big problem as the heat-sink and motherboard VRM's are only capable of (Possibly) supporting a lower power chip. I found
This document that lists the supported CPU's for the Q35 chipset