Arthur Shapiro wrote:

There is rarely any problem
> interacting
> with cats and dogs, although the dog might attack the possum.
>
> And unlike much wildlife, the body temperature is so low that rabies
> is
> virtually unknown.
>
> I always put out my cats' rejected food and enjoy watching the
> neighborhood
> possums who come around at night.
>
> Art (former member of the Opossum Society of the US)

My cats have caught possums in the past, but now don't bother anymore - more
trouble than its worth I suppose.
I have seen them in Mexican standoffs though.