Not really sure how far you want to go with it but heres what i have done.
I had a MiTo QV and done a couple of bits to that which made a difrence, i know it wasn't the 1.3 engine but it was a good place to start... i changed the air filter to a bmc panel filter and there was a funny shaped plastic 'diverter' in the airbox. not sure what it done but i took it out, a couple of weeks later though i heard the noise a k&n cone filter made so got 1 of those instead. it felt better with both types of air filter (panel and cone) and they are cheap and easy to do at home. i had a tmc tuning box on that too and it was good but from what ive read all it is really is (the same with most, if not all tuning boxes) just a resistor that fools the sensors it plugs into and gives the car false readings so it gives you more boost. it was ok though and certainly made a difrence but not like a remap at all
On my Guilietta QV though i have done it difrently, i have had the exhaust changed and the biggest problem on the standard 1 is the downipipe straight out of the turbo. its too restrictive (instead of being round and open as the exhaust gases come out it was pretty much a flat bit of metal so nowhere for it to go) they use it to get the temperatures up for the mot's they have in europe where they test from cold (i think thats what its main use was for) i had a proper remap for this car too so it is 'made' to take into account the other mods ive done to get the best from them instead of just putting up the boost pressure like the tuning box. i can really recomend Fred at
http://www.proalfa.com in watford for doing the remap and answering any questions you might have about it. He really knows his stuff and he has worked for Abarth doing the mapping for the 500 Abarth's in europe. He worked on their rally team too. He won't just get a load of high numbers on a dyno printout for you as he will only do what he thinks the car is capable of and its his name on the line if it goes wrong which is another reason i used him to do mine, heres a video of him doing his thing
http://www.youtube.com/watch?v=9BdYk_aW5X8
hope that helps to start with