There have been decisions in the past by courts and authorities to suggest that it is the nature of a dog to kill and wound small animals. As such, unfortunately there is no certainty that the police could take action, in the event of your pet being killed or wounded by a dog.
The police will however take action if the dog was dangerously out of control. For further information, see also Q653 (What action can be taken with regards to a dangerous dog?).
If the police cannot take action under the circumstances, the other viable alternative is to pursue civil proceedings against the dog owner. In this event, we would recommend contacting Citizens Advice for further guidance on this process.
This answer does not take into account deliberate attacks or dog fights which are separate offences.
