spatter on someone or something
[for a liquid or something moist] to splash onto someone or something. When Kelly painted the hallway, a lot of paint spattered on the floor. The hot fat spattered on me.
spatter something on(to) someone or something
to scatter or splash bits or drops of a liquid or something moist onto someone or something. Who spattered barbecue sauce onto the wall? The paint can fell and spattered paint on everyone.