Tyres sold in the EU are subject to energy labelling requirements. By switching to the most energy efficient tyres you can reduce your fuel consumption by up to 9%. At a fuel price of €1.50 per litre, this would total a saving of around €660 over the lifetime of the tyres if you cover 65,000 km.
While there is no specific ecodesign measure for tyres, there is type-approval legislation (i.e. Regulation 661/2009 on general safety of motor vehicles), which sets minimum requirements on tyres' fuel efficiency, wet grip, and external rolling noise.
More information is available on the DG Growth website.