Stop the slobber from spreading. At least the slobber that's on the floor, over by the food and water bowls.
LLBean makes a nifty rubber "placemat" with two recesses that help immobilize your cat's or dog's food and water bowls. The mat is also big enough to contain the splashes and splotches and nuggets that get nosed, pawed, and dropped in the vicinity of their source.
Waterhog products are made of a heavy rubber that's ridged for durability, so go ahead, use it as a chew toy, too.
Available for $16.50 or $19.50, depending on size, here.