For manual extraction, one can view the "page source" of a Vimeo video, find the "player" link, open it, and locate direct video file links for conversion.
Find the desired Vimeo video and copy its URL.
For videos with download permissions enabled, users can directly download audio files from the Vimeo platform. Step-by-Step Conversion Example
Programs like VideoPaw or Apowersoft allow users to copy a video URL, paste it into the converter, and choose an MP3 output.