We've configured a SharePoint 2013 two-way hybrid farm with ADFS 3.0. We want to achieve Single Sign-On (SSO), which is working, but not quite in a way that's ideal. Here's a scenario:
When a user accesses the on-premises farm they are redirected to our ADFS server and log in. When they then try to access their OneDrive (using the link in the top nav bar), which is hosted in our Office 365 environment, they are presented with the Office 365 login page. When they enter their user name they are immediately redirected to our ADFS and login happens. So in a way we've got Single Sign-on working, as users don't have to provide their password a second time. But it still requires users to enter their username in that Office 365 login page. Is there a way to prevent that intermediate Office 365 login page, so the switch between the two environments is seemless?