The Cordia Turbo has quite good handling in standard form. 
Standard handling features include sports macpherson front struts, a beam rear axle, high-rate springs & dampers front and rear, plus chunkier sway bars than the naturally aspirated GSL's. 

Braking is satisfactory with front vented discs and rear drums. While in later model AC cordia's the Front disc's were upgraded.

The leaded models came factory with 13 inch alloy wheels with 185/60 series tyres. Unleaded models received shiny 14 inch rims. 

Torque steer is apparent in Cordia Turbo's like most spirited Front Wheel Drivers, but it is not overley intimidating. All in all the Cordia is a very neutral handling vehicle and just like the Starion, Mitsubishi spent a lot of time and effort making sure that the Cordia was a very capable, sporty and safe handler. 

A Cordia's handling can be further fine tuned by the fitment of good quality shocks and springs. By fitting stiffer shocks/springs at the rear help acceleration and grip. 

It is not reccomended to go overboard with lowering height as this can often have a negative effect on a cars handling when it is too low.
A must is  a set of good grippy tyres the Cordia Turbo will be a very  rewarding handler.