This problem is still occurring for me. I'm on Enpass 6.4.0 (632) and Chrome 80.0.3987.149 (Official Build) (64-bit). Only this time there were no URLs to be found in Process Monitor...
I have just experienced exactly the same issue. Enpass stopped syncing with the cloud, and trying to reconnect it just hung there, presumably waiting for a browser window to open. I had to fire up Process Monitor, track down the URL, change some of the slashes, and load the URL. It then synced again.
Chrome 79.0.3945.130 (Official Build) (64-bit).