Use youtube-dl directly to download the video (thanks @meepybub!) Example:
youtube-dl -u <youremailaddress@example.com> "https://vimeo.com/ondemand/<video>"
If variant 1 doesn't work, try this.
Login to Vimeo and get the cookies.txt file using this Chrome plugin
Use youtube-dl to download the video Example:
youtube-dl "https://vimeo.com/ondemand/<video>" --cookies cookies.txt
I had a lot of success with this repo for private videos: https://github.com/Tusko/vimeo-private-downloader
Just exported Vimeo's list of URLs from their CSV into a plain-text file, one on each line... Hopefully that should work. And I find that Vimeo blocks you after a while, so hopefully either the --sleep-interval will prevent that or it'll detect where it left off.
Thanks.