When a man's visions of a lover from a past life reveal she may also be alive today,
Great. As SQM pointed out, this is a concept that has worked in the past and I would love to see it done again - differently.
his initial curiosity turns to an all-consuming obsession as
This can be easily omitted. I like to see every movie hero obsessively follow their goal.
he attempts to challenge fate to be with her once again.
Here we hit a snag. It's too vague. What does 'challenge fate' mean?
I have no idea what to expect in terms of what type of movie this is going to be. What obstacles does he have to overcome to find his love? Is she not returning his love? Is she married? Is she elusive? Is she a ghost? And what can he do about it?
Clarify what his 'main action' will be throughout the story and give us the obstacle(s).
That said: I'm intrigued!