I can't see how, its the same car, one with a sporting badge and a bit of trim. Think they're having you on there, they've not got any special 'sports' power outputs or anything to require different brakes.
that's what I thought, so I looked on ebay:
http://www.ebay.co.uk/itm/FIAT-STIL...arts_Vehicles_CarParts_SM&hash=item27c0c87200
or
http://www.ebay.co.uk/itm/SBS-Rear-...Parts_SM&fits=Model:Stilo&hash=item53f7753d1e
so...I dunno!
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