Cyclingovershoes are usually fairly effective against the cold. You can also buy waterproof ones to protect you in wet conditions too.
Even so, overshoes are not designed to be walked in, so we must bear in mind, if we walk with them, either on road or off road, they will end up breaking. Normally they are reinforced in some areas to prevent their deterioration.
Overshoes can vary in price from €15 to €100 depending on the qualities of the materials with which they are manufactured however at Deporvillage you will find the most competitive prices on the market for all the accessories you may want for your bike.
Popular Cycling Overshoes brands: