The daily said the 57-year-old had been headed to a film set on Tuesday when his motorbike was hit by a auto.
A picture from La Nuova shows a smashed windscreen, which suggests George hit it during the crash, but despite this, his condition is not thought to be serious.
George Clooney was reportedly involved in a motorbike accident Tuesday.
Clooney is now filming TV drama Catch-22 on the Italian island.
US will reunite and release over 50 immigrant children
They will need more time to collect DNA samples or other evidence from parents who have been released from government custody. Officials said they were still working to locate the parents of numerous children, some of whom have been deported.
He is understood to have received treatment at John Paul II hospital, but NBC News report that he has since been discharged. More information is to follow.
Their outing comes amid reports that the pair are renting a lovely two-storey villa from Ezio Maria Simonelli, an accountant and man close to former Italian president Silvio Berlusconi. He has been in Sardinia since mid May, shooting TV series Catch 22, which he is directing and in which he also stars, alongside Hugh Laurie, Kyle Chandler and Christopher Abbott.
Clooney has a home on Lake Como on the Italian mainland. The series is being produced for Hulu.