Language isn't math and therefore giving "rules" that supposedly always apply is risky. There are some problems with your sentences, TS. " Tom said [that] he might study English.
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Thinking SpainI've seen it somewhere that's why I've asked. So I was completely wrong.I don't think I have seen the term "past modal" anywhere. (That doesn't of course mean that no one has ever called some modals that!
The same thing for 'would' in reported speech, it refers to the future too. There is no way I can call it 'past modal' at all, right?