For example, i have case in my flutter app when user can recover his password. In that case user will receive link on e-mail, and i want by clicking on that link, my flutter app will open, and route to specific screen.
You'll want to view this from the perspective of: How do I open my iOS/Android app from a URL, ie. App Deep Linking.
They each have their own respective implementations:
Or you can go with more comprehensive SDKs that are capable of doing both for you: