Why not subscribe to an additional temporary insurance?  

Some specific insurances offer temporary coverages. Be aware, they do not include many sports like off-piste skiing or do not cover your public-liability insurance for an accident. Moreover, it will cost 4€/day. Thus, for a 15-day-trip, it will cost 60€ and will not bring the same advantages as the Multisport Insurance Card that is 13€ less expensive, and includes a one-year coverage for all your favorite sports!