My wife's textbook says that these two are the same:
- He said to me, "I want you to join the game."
- He told me (that) he wanted me to join the game.
I'm not a native English speaker, but in this situation I would say "He told me (that) he wants me to join the game."
Maybe I'm wrong, but to me wanted in the second sentence indicates that while he previously did want, he didn't want it anymore when he spoke to me.
In which situations do you use the past tense (e.g. wanted) when you report on what someone told you? In which situations do you use the present tense (e.g. wants)? I would appreciate some example sentences as well.