Android auth without having to input the password

When implementing oauth to login users with their google credentials, the current functional implementation allows you to do it by presenting a browser windows where the user need to input the email and password.

This works, however on Android the “native” behavior would be to simply present the user with the list of accounts that are already registered on the device, and upon selecting one of them, a second page where he would accept the permissions required by the app, without having to input his password anywhere…

Can this be done? Does anyone have a suggestion for a good approach on implementing this?