Fully cooked ham left out for 10 hours, is it still safe to eat?
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Chances are, yes it's probably fine, but I would suggest you take some precautions. 

Please consider how long your ham may have been in the temperature "danger zone". 

This post is a superb explanation of what this means and what it entails:

https://cooking.stackexchange.com/a/34671/30873

If in doubt, play it safe. Again, from my experience, it likely is fine, but don't take any chances if you have any reason to think it is not.