Let the investigators know they are still communicating.

These questions haven't been answered and they really must be in order to be able to give good advice:

What EN's does she have that can be met to help her recommit to the marriage?

What in her personality makes you think she might recommit?

Were there good years in your marriage that she can think of fondly?

The impression I have from your thread is that trouble started right away, but I may be misreading it.