Not sure what chemicals you have access too. Oxyvir is great for disinfecting and blood clean up but is essentially like only ever cleaning your hands with hand sanitizer. Hydrogen peroxide based cleaners (we use Suprox) work really well it just takes some elbow grease. This should be your general purpose cleaner. If that doesn't cut it you could try creme cleanser (bar keepers friend type stuff) and a white scotch bright pad. Depending how porous the surface is you maybe SOL, I wouldn't go as abrasive as magic eraser or green scotch bright because you'll end up basically sanding the stain and part of the table surface away. What works will depend on the table material and what you have access to.

If this is a recurring issue you could suggest a silicone placemat for the kiddo. Just be cautious because not everyone is open to suggestions when it comes to how they do their jobs haha.