The Peugeot 106 Rallye started life in 1994 as a stripped-out 106 GTi with neo-rally leanings, a screaming 1.3-litre motor, cheap go-faster stripes (natch) and, best of all, naked, lightweight ...
Peugeot managed to squeeze a full 1.6 litres ... Worth a mention is the 106 Rallye. Other than being a 106 it's not really related to the GTi, but you might consider one as an alternative.