Here in Helsinki, Finland we have an animal rescue section in Helsinki City Rescue Department. (A trivia question in Helsinki goes like this. Q: How many firestations there are in Helsinki? A; None, they are all rescuestations.)
The code for the vehicle the Animal Rescue uses is PULU-1. ‘Pulu’ is local slang for a city pigeon.
They do work both on wildlife and domestic animals.
http://www.hel.fi/hki/pela/en/Rescue+operations/Animal+rescue