Hi,
If I understood your use case correctly, your use case may not be related to L7 or CA SSO.
It's a question whether the mobile app can interact with mobile browser on the same device.
Your mobile app does some actions and gets a token.
You want this token to be shared with your mobile browser so you would achieve a seamless SSO between your mobile app and mobile browser.
There is a mobile app called "LastPass" which stores your credentials and it is able to enter/submit your credentials on other mobile apps as well as the mobile browser.
So, it does appear what you are trying to achieve is very much possible.