Micro.blog can now import blog posts from Medium. You can request a .zip archive of your content from Medium.com, then go to Posts → Import on Micro.blog to upload the file.
Because Medium no longer supports custom domain names, we don’t think it’s a good long-term solution for blogging. If you still want to reach your Medium followers, you can enable cross-posting from any blog to Medium in Micro.blog by clicking Account → “Edit Feeds & Cross-posting”.
Micro.blog does a few things to make transitioning from Medium to Micro.blog hosting easier. Just like the WordPress to Micro.blog import, it automatically downloads any photos referenced in your posts and stores them on Micro.blog. It also cleans up the posts a little, while preserving most of the original HTML. Of course it also sets post titles and published dates.