The phrase "soft tyres" refers to a type of tires used in sports like Formula 1 racing. Soft tires have a special rubber composition that provides better grip on the road but might wear out more quickly. Full definition
There are also softer tyres for the 18 - inch wheel option for better ride quality. (paultan.org)
He fell to 14th place but with fresher soft tyres, he quickly moved his way up the order and took the lead on the last lap to win in incredible style. (wtf1.com)
He suffered a huge lock - up at the first turn once the lights went out, forcing him to change to soft tyres after lap 1 which didn't last until the end. (planetf1.com)