A photo from the scene shows the car's smashed windshield.
A fire extinguisher can be seen on the road but no people from the accident were involved.
Local daily La Nuova Sardegna said Clooney's injuries weren't serious, but that he was taken to the John Paul II hospital emergency room. More information is to follow. Clooney allegedly said that he was "fine" and that he would continue filming his Catch-22 mini-series in a few days.
The couple have also been joined by George's parents, Nina and Nick Clooney, and Amal's mother Baria Alamuddin.
Divers begin final push to rescue remaining boys, coach in Thailand cave
Twelve boys and their coach were stranded when they went exploring the Tham Luang Nang Non cave after a practice game on June 23. Tracy also noted that the glimpse we've seen of the trapped boys showed they appeared to be in good spirits.
In April, the legendary thespian announced he was cutting down his acting role in the Hulu production so he could focus on directing.
Clooney has a home with his wife, human rights lawyer Amal, on the Italian mainland, on Lake Como.
His castmates include Hugh Laurie, Austin Stowell ('Whiplash') and Kyle Martin Chandler ('Friday Night Lights').
The story, set in Italy during World War 2, focuses on Christopher Abbott's character of Yossarian, a US Air Force bombardier who is furious because the bureaucratic rule known as Catch-22.