TSI and FSI are kind of silly marketing terms that mean different things in different parts of the world. For the VW's in North America the "off the top of my head" differences between "2.0 FSI BPY engine code" and "2.0 TSI CBTA and CCTA engine codes" are the following:
Fuel pump - FSI cam lobe and pump issues, TSI no major issues yet
Timing mechanism/media - FSI belt, TSI chain with possible issues
Oil filter - FSI cartridge housing in a moronic location, TSI spin-on can in an awesome location from a DIY'er POV
Water pump - FSI belt driven, TSI electric pump with issues
PCV system - FSI has some problems, TSI less so
Turbo - FSI can't remember , TSI IHI brand turbo
Note: TSI in the rest of the world may refer to the Turbo Superchaged engine, i.e. the 1.4L TSI VW engine. In N.A. it doesn't (yet). It looks like they messed up with the engine acronyms by not maintaining consistency...