During the 1948 Terra Dei Motori race, Ferruccio and Matteo are being closely followed by a Mercedes Benz, yet in some close-up shots of the two of them, there is no car behind them.
In the movie it's suggested that Ferruccio Lamborghini rejected Franco Scaglione's first design proposal in favor of a more conventional design that was to become the 350 GT, the first production Lamborghini.
In reality the very first Lamborghini prototype, the 350 GTV, looked exactly like the "rejected" design sketch in the movie.
It was presented at the 1963 Turin Motorshow, so way before the 1964 Geneva show where the first Lamborghini was introduced according to the movie.
When Clelia and Ferruccio's baby is born he can be seen to have a perfectly healed belly button when the doctor's pick him up. No belly button would look like that on a baby who has just been born.
In the race between the Lamborghini Countach and Ferrari Mondial, the footage shows the Mondial leading in most sequences. With the Countach's 375 horsepower and 5.2-second 0-100kmh time, the Lamborghini should have blown the doors off the Ferrari, which had only 300 hp at most and did the 0-100 kmh in 5.6 second in its fastest iteration.
In the 1948 race, there is a Mercedes Benz SL. The first race in which the SL competed in was held in 1952.
When Lamborghini is discussing designing his new concept car for the upcoming Geneva show, he states that he wants the car to be ready in 6 months time for the upcoming Geneva motor show in March. Scaglione replies "March this year?" but this conversation is taking place in the fall of 1963 and the following March will be in 1964 so he should have said March next year or next March.