How can I deter my Bichon from hunting mice?

I am not expert on the Bichon except for fostering several senior Bichons for the rescue. However, most folks don;t realize that many of the small breeds are hunters and will go after mice and other vermin. They normally do not eat these. And like cats they may bring home a "gift" to please you. Do some research on the breed. This is not an agressive act but natural instinct of the breed possibly. I would not be too concerned and it;s good you have a mouser. You would expect a cat to do this. I have had dogs that were great mousers and one that killed snakes in our yard. None ever ate what they killed. Hard to mess with instinct and Mother Nature. This does not mean she will go after any other critters except those she knows are not part of her family.