Is Child Abandonment in a Safe place LEGAL in Europe?

I do not have a child and if I did I would most definitely NOT abbandon it - I am writing a novel and want to have accurate informations. In America there is the Safe Haven law where you can abandon a child under 30 days old at a police station, hospital or fire station anonymously and legally. Does such a law exist in Europe? If not, what would happen if someone left a child in good health, under 30 days old in some "safe place" (e.g hospital, police station etc etc). Would the police try to find the person who left the child? Would it be possible for the police to find the parent? If the parent was found would he or she be punished? And lastly, if a baby under 30 days old, is left on the doorstep of people who the parent of the child believes would take in the child, would the people who found the child be able to pass the child as their own, or adopt him without the birth mother having anything to do with it? Like I said this is for a novel -- if I get any fantastic answers, I will have to include your name in the Thank you's! - If I ever manage to get it published. Please answer the questsion seriously. Thank you very much.