Vettel was given a 10-second stop-go penalty for dangerous driving in last Sunday’s race in Baku after what appeared to be retaliatory contact with Hamilton’s Mercedes.
The incident took place moments after Vettel, who accused Hamilton of brake testing him, had run into the back of the Briton’s car as the duo were preparing for the re-start on lap 18.
A statement from the FIA said: "Following the recent incident at the Azerbaijan Grand Prix in which Car 5 (Sebastian Vettel) was involved in a collision with Car 44 (Lewis Hamilton), on Monday July 3, the FIA will further examine the causes of the incident in order to evaluate whether further action is necessary.
"A statement regarding the outcome of this process will be made available before the upcoming Austrian Grand Prix (7 – 9 July)."
Vettel finished fourth in Azerbaijan, one place ahead of Hamilton, extending his championship lead over the Briton from 12 to 14 points.