Issues logging into two portals from the same browser on same APM.

I manage an APM with multiple access profiles for multiple access portals. Each portal functionality is similar, just giving access to various webtop links. The issue I'm having is that I have 3 portals that have the same domain, i.e. site.example.com, site.te.example.com, and site.ke.example.com. The issue is that when a user is logged into site.example.com, they get an error saying invalid session when attempting to log into site.te.example.com from the same browser (in this case Chrome). The user can be logged into site.example.com on Chrome and then log into site.te.example.com on Firefox without any issue. This is an inconvenience for the users and I need to find a way to have them log into both portals on the same browser without any issue.

 

Oh yea, each portal right now is using different authentication methods. One portal is using ldap while the others are using SAML.