I have a couple of times had dreams which had an uncanny resemblance to future events, I.e. Precognitive dreams. But in my case I remembered the dreams, had no clue there was anything special about them, and then the waking event occurred and I tried to find a rational explanation that was more satisfying than "just a really weird coincidence" but I could not find a rational explanation and I really was not satisfied with coincidences like that.

I would think that in your case, working on dream recall overall would help. If you remember more of your dreams overall as soon as you wake up, then you are more likely to record the dreams before the waking events occur. If you are not already keeping a dream journal and going to bed with the intension of remembering your dreams, that is a good place to start. There are other dream recall techniques which are mentioned elsewhere on this site. Let me know if you need my help finding them.