Improving Brake Pedal Response

[David87]

My Dad's just bought a used Renault Clio 200 (on my recommendation!) and it's completely awesome in every area apart from one... the brakes. There's quite a lot of dead travel at the top of the pedal, which is quite at odds with most Renaults as they are usually very sensitive. It was serviced yesterday and they bled the brakes to try to sort the problem, but it's made no difference. They also said both the pads and discs were in good condition.

My question, therefore, is what else can be done to make them 'normal'? Thanks!