Traffic police heads across Europe are urging the EU to adopt new rules so drivers can be punished for offences they commit abroad.
The European Traffic Police Network (Tispol) says at least 400 lives could be saved each year if people knew they would still be punished for offences.
They say such a system would be both fairer and safer.
Belgium, which currently holds the EU presidency, says reaching agreement on the issue is one of its top priorities.
EU figures suggest that foreign drivers account for around 5% of traffic, but around 15% of speeding offences.
Most go unpunished, with countries often unable to pursue drivers once they return home.
Tispol officers are urging the EU to make possible cross-border policing of traffic offences.
They argue that would be fairer – with foreign drivers no longer able to escape the punishments given to domestic drivers – and safer, with greater enforcement acting as a deterrent.
It is likely that a driver’s home authorities would pursue them on behalf of the foreign country.
And it would be up to drivers to make sure they know the rules of the country they are visiting – drink-drive laws in particular can vary widely.
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