The Ocean's Eleven actor hurt his leg when a Mercedes vehicle allegedly turned without giving right of way and collided with his scooter, Italian press agency AGI said.
The incident occurred after the car's driver, said to be in his 60s, attempted an abrupt turn into Clooney's lane of traffic, sending the actor flying over the handlebars as a result.
Following the crash, it was reported George's injuries were not thought to be serious.
Clooney is a Northern Kentucky native.
Clooney was riding his scooter to Olbia in Sardinia, where the set of his upcoming Hulu series "Catch 22" is located.
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George's spokesman, Stan Rosenfield, released a similar statement of Clooney's health, as well as a breakdown of the accident.
George and Amal Clooney welcomed Alexander and Ella in June of past year, with Amal recently telling Vogue that their first words have been "Mama" and "Dada", although she said, "George was very careful to ensure that "Mama" was the first word".
They said: "George Clooney was treated and released from an Olbia hospital". Wife Amal Clooney rushed to his side and left with Clooney when he was discharged later that day.
Italy holds a special place in the couple's hearts - earlier this year it was revealed they first crossed paths in Lake Como, where George owns a summer home.
He said one of Clooney's bodyguards told him: "You hit Clooney".
Ambulance personnel tend to a man lying on the ground, later identified as actor George Clooney, after being involved in a scooter accident near Olbia, on the Sardinia island, Italy, Tuesday, July 10, 2018.