well if thats the case then a little internet trolling is in order mate. Let ms try guide you through the options :
Backbox: Just the rear silencer
Cat back, the exhaust system (middle section and back box)
Turbo/manifold back: as above but includes cat (make sure the cat is hologamated for road use though (new MOT regulation) or just make a heatshield that covers it completely so nobody knows

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Catalyst (Catalyic converter), as most people know is designed to reduce emissions. Whilst most 200 cell cats (Also known as sport cats) do this well, manufacturers like to annoy people and put a quite restrictive one on (To meet other countries emissions?). Now only problem is, unless you, or someone you know, are good at TIG welding, sports cats only tend to be available for turbo- or super charged engines.
Middle sections of exhaust can comprise of more than one component (I think the punto has 2?) And tends not to have the flexi pipe. Most vehicles have a 'mid box', a pre silencer that usually reduces low note sounds (IIRC). Most people swap these out for a straight pipe which therefore reduces backpressure, better exhaust note and higher number of ponies.
Backbox is a common name that refers to the rear silencer. To be honest and IMO, unless you to have altered the mid section, replacing the backbox is pointless (My opinion) unless you want to sound like those stupid corsas. Tail pipe design is also a factor to consider aswell. Do you want a gapping hole like, say an Impreza, or something toned down like, say the abarth (twin 80 tail pipes).
Any other info, let me know
