Sh1t happens unfortunately. I had a minor incident with my front bumper but in a much more obvious place, up near the headlight washer cap. The body shop were able to do a relatively localized spray job and it's perfect, you'd never tell. White is apparently good for colour matching too.
With that damage being so low down and mostly on the lower splitter, a very localized repair should sort it. The grill should be relatively cheap to replace if you really wanted to.