Earlier this month, they agreed on a $14 million settlement, which Heard has announced she will donate to the American Civil Liberties Union, an organisation aimed at tackling violence against women.
Some Australians are apparently upset by Dior's Depp campaign, with the Advertising Standards Bureau reporting it's received "a couple of complaints".
The Sydney Morning Herald reports that while ASB boss Fiona Jolly wouldn't reveal the exact nature of the complaints, she confirmed they "centre around the use of the actor in the advertisements".
Last week, Heard blasted Depp after he "cut out the middle man" and donated a portion of the settlement money directly to her chosen charity, claiming he should now pay double.
As her team told TMZ: "If Johnny wishes to change the settlement agreement, we must insist that he honour the full amount by donating $22 million to charity, which after accounting for his tax deduction, is equal to his $14 million payment obligation to Amber. We would also insist that the full amount be paid immediately and not drawn out over many years."
The rep even went on to suggest Depp was attempting to use it as a tax write-off.
"Anything less would be a transparent attempt by Johnny's counsel, Laura Wasser and Patti Glaser, to reduce their client's true payment by half under the guise of new-found concern for charities that he has never previously supported."