Mr Clooney was driving from his rented villa in Punta Aldia to Capo Ceraso, on the Sardinian coast, where he is filming a TV series based on the Second World War novel Catch-22.
Local daily La Nuova Sardegna said Clooney, 57, had been headed to a film set on Tuesday when his motorbike was hit by a auto.
Southgate tells England stars to 'be bigger than 1966 heroes'
However anything could happen in each of those matches of course. The big guys were sent home and the working teams stayed.
The newspaper tweeted a photo apparently from the scene, showing a lightly smashed up motorbike and auto, with a caption suggesting the vehicle had been turning and Clooney had made contact with its windscreen.
Clooney was transported to the John Paul II Hospital emergency room, but his injuries were not serious, La Stampa reported.
This is a developing story and will be updated when more information becomes available.
Mario Mandzukic: Croatia have what it takes to surprise England keeper Pickford
The team was traveling from Sochi to Moscow on Sunday to set up camp for two days of training ahead of the semifinal. Now they are looking to go one step further, but just getting this far is a source of great pride for Croatia.
The couple had previously been enjoying their European trip alongside George's parents Nina and Nick Clooney, as well as Amal's mother Baria Alamuddin.
Police are said to be investigating the accident.
The move comes after it was announced in April that the actor was going to be reducing his role in the production so that he could concentrate on directing and producing.
Rescuers have freed four boys trapped in Thai cave
So far eight boys aged between 12 and 16 have been led out of the cave system by a team of expert divers over two days. The first day we spent 11 hours, yesterday we spent nine hours [from the start of the mission to the final rescue].
The two-time Oscar victor has hired Kyle Chandler of Friday Night Lights fame to take over the part of Col. Cathcart (played by Martin Balsam in the 1970 adaptation) originally earmarked for himself while he takes on the less demanding role of Scheisskopf.