How do I remove paint spills from unfinished wood?

Paul, I'm not being sarcastic, but I would ask the painters how they are going to remove paint spills from the unfinished wood.

Notwithstanding, you could use paint thinner, or turpentine. When I evaporates it may not show at all.

But I would certainly approach the painters first!

Ouch. You would probably need to sand it. If the house was actually painted and not stained then the drips probably didn't penetrate the wood on the fence and a little sanding with do the trick. Nothing else you can really do. You could try and maybe use a paint stripper but that usually damages the wood. Maybe you should just paint the fence at this point.

Don't pay the painters till they've cleaned up completely - including spills like these.

If you've already paid them, call them back (on the pretense of more work?) and ask them to clean it up.

Good luck.

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pressure wash is a good idea, the sooner the better. If the paint doesn't thoroughly dry it's much easier to wash it off.

pressure wash it. paint gone. and still be rough

I would try wiping lightly with mineral spirits.