You will find the tyres do scrub on full lock, especially when the tyres are cold or getting a bit worn, there is not a problem with the car if this is what you are describing. Mine does this (2004 1.8T S-line Quattro 190), so does my mates 1.8T,

New tyres could stop it, but there is no point, i just take it really easy when on full lock as this helps!