Australian media reported last month that government health departments were looking into whether Ferrari's original Philip Morris livery had broken the ban on tobacco advertising.
Ferrari replaced the Mission Winnow logo in Melbourne with a "90 years" livery, which marks the 90th anniversary of the Italian racing company established by Enzo Ferrari.
F1 was once synonymous with tobacco and the liveries of many cigarette-sponsored cars became iconic, including the black and gold of the John Player Special Lotus, the red and white Marlboro McLarens and the blue and white Rothmans Williams.
That all ended when Formula One banned tobacco advertising in 2006. However, tobacco brands have been trying to slip in through the back door.
At last year's Japanese GP Ferrari started wearing the branding of Mission Winnow, an initiative from Philip Morris (which also has Marlboro in its stable) aimed at developing less harmful alternatives to cigarettes.
But the shape of the logo prompted accusations that it is similar to Marlboro’s white and red chevron.