Huh? I don't mean to be rude, but I think you are not explaining it very clearly to the TS.
It doesn't matter if the subject is in pitch darkness or bright daylight, as long as its moving at a certain speed, you need a certain shutter speed in order to freeze it. You adjust the other variables like aperture and ISO according to the shutter speed you NEED in order to get the correct exposure. Not the other way around. Of course you can always shoot in Shutter Priority and (if your camera supports it) auto-ISO allowing your camera to do all the work.
A rough guide would be...
Depending on how fast the subject is walking... 1/60 - 1/250
Puppy running? Sports? Look at minimum 1/250. If you are able to afford it, the faster the better. Open up to max aperture. Set your ISO to the highest that you are comfortable with. Which in certain indoor situations may still not be enough. So go for max ISO... image with noise better than no image at all.
When you're talking about action. It is likely going to be a one-off thing. No second chances. So better it right on the first shot.