The CVT 58, or Concetto di Vettura da Turismo, was shown in Geneva a year after the CVP 39, which it developed further. Although not officially stated, it was based on the Alfasud, fitted with 14-inch tyres. The car took the form of a five-door semi-fastback saloon measuring 4 metres in length, with a smoothly styled, aerodynamically oriented body and a relatively high tail section, a feature that would later appear on a number of production cars. Its glass area was generously sized.
The design incorporated several notable ideas, including a bodyshell built from a reduced number of fibreglass-reinforced plastic components, intended to lower weight and cut production costs. The rear door windows swung outward rather than winding down. The wheel arches were made of contrast-coloured plastic material, a treatment repeated on the bumpers, wheel cutouts, and a side protective strip, while an air outlet was integrated behind the front wheel opening. Flush-fitted windows and a flat underbody contributed to a drag coefficient of 0.28. Door handles were combined with the locks and mounted externally, and all four doors had defrosting air outlets. The seats used removable covers for easier cleaning and replacement.
Inside, a fabric-covered dashboard held a simple square cluster of electronic instruments, adjustable together with the steering wheel and its angled column-mounted switches. The car measured 400 cm long, 165 cm wide, and 136 cm high, with a wheelbase of 245.5 cm and track widths of 139/136 cm.