Ensure you are logged in to the app. Your maps are automatically saved to "My maps" or to another Workspace you are using at the moment.

To save a map to your device, click on the cogged wheel icon in the upper right corner, select 'Map actions,' and download your map as a JPEG, PDF, or SVG format.

If you want to save a public map, open it, click the cogged wheel, select 'Map actions,' and then 'Create copy of map' to save it to your map list.