Yes, Facebook video downloaders (https://downloadkaro.com/facebook-downloader) can save live-streamed videos, but only after the stream has ended and been published on the page or profile. Once available as a regular video post, you can copy its link and use a downloader to save it. However, downloading while a live video is still streaming usually isn't supported. The quality depends on how the original video was uploaded. For the best results, wait until the live stream finishes and is processed in HD. Using a trusted downloader ensures you can safely capture and keep live videos to rewatch offline.