Dammed if I know, I'm not in company law.
However a quick search on google with the string: director sued limited company
...suggests its a very real concern for directors of limited companies and money is made advising on the subject.
In this thread example the claim is a debt of £80m.
That's a lot of incentive for creditors to go over any available avenues to claim negligence and therefore bypass the limited company protection.
An example solicitors page showing a list of ways a director can be held personally liable:
https://www.saunders.co.uk/news/per...legal-disputes-litigation-lawyers-london.html