Lamborghini continued with the 350 GTV as a show-only prototype. During assembly, the workforce discovered that the body panels would not fit around the engine. Since he had no further plans for the 350 GTV beyond being a show car, Lamborghini had the engine bay ballasted with bricks and kept the bonnet shut throughout the Turin Auto Show. The incomplete show car also lacked brake calipers, foot pedals and windshield wipers.
After the 1963 Turin Auto Show, the 350 GTV was placed into storage. The 350 GTV remained in storage until the mid-1980s, when car dealer Romano Bernandoni and his cousin, Lamborghini expert Stefano Pasini, convinced the management to sell the 350 GTV to them. Bernandoni and Pasini did not receive the gauges and steering wheel with the car. They did, however, receive several proposals to modify the car into running condition and accepted one. During the modification process, the car's colour was changed from its original pale blue to deep metallic green at the owner's request.
The 350 GTV was then sold to a Japanese collector, who placed the car in the Noritake Collection. Several years later, the 350 GTV was placed on display at the Lamborghini Museum in Sant'Agata Bolognese, Italy.