the expression of action or that of occurrence?

---Hi, Calif Jim. I agree with your suggestion that the question above mentioned is too advanced and cerebral, so I'll introduce my idea in so limited a way.Thank you very much.

  By the way, I'd like you to answer my very last question if you like－－－concerning the following 2 sentences.

X:  I remember seeing her in that shop the other day.

Y:  I remember that I saw her in that shop the other day.

  Of course "that I saw her in that shop the other day" means a future occurrence or fact.
  How about "seeing her in that shop the other day"? Also a future occurrence or fact?
  Or else (Action)? I think both are expressions of Occurrence or Fact.
  What do you think?

-- Of course I mean PAST occurrence of fact.

－You mean both are past occurrences of fact, but the second is more action-like, don't you?

－－What I mean is ---

P:  He enjoyed listening to the music.

  In P, the whole sentence (He enjoyed listening to the music.) clearly expresses a past occurrence / fact.

  It's because the sentence has the Subject and Tense.

  But "listening to the music" expresses a past action, I think, because it has no Subject, or Tense (no infornmation for time and place).

So I think whether "to do" / "---ing" / "that clause" is an action or occurrence doesn't depend on their time (past / present / future).

What I want to know most is whether we should regard as action or occurrence what we express both by using "---ing" and by that clause－－such as X and Y.   

X:  I remember seeing her in that shop the other day.

Y:  I remember that I saw her in that shop the other day.