The EC's health commissioner Markos Kyprianou will specifically target Ferrari, the last team on the grid still accepting sponsorship from a cigarette brand (Marlboro), and the three race venues that allow trackside tobacco-related adverts, according to the Financial Times.
"Formula one race drivers are viewed as heroes," Kyprianou said.
"They can become role models. So the young people watch these people with tobacco signs on their chest and the wrong message goes out."
The consultancy firm Sport+Markt estimates the value of Ferrari's Marlboro contract at $200m, making it one of the most lucrative in F1 despite the team not being able to display the logos at many events because of the European Union's 2005 ban.
Kyprianou is also reported to have met this week with Monaco's Prince Albert, urging him to disallow cigarette advertising for the historic grand prix there.
F1 venues China and Bahrain also allow tobacco signage.
'FT', however, said Kyprianou was unlikely to win the support of F1's governing body because the European Union does not share a good relationship with the FIA. (GMM)