Can you describe the use case a little further? The user is inside the native app, and then clicks a button and gets kicked out to a mobile web app?
Typically in OpenID Connect, the session is stored in the browser. So if the person opens up a number of Google chrome browsers, they should have a session across all. But if they were to open two separate browsers, like Chrome and Mozilla, they would have to authenticate in both browsers.
If its using the system browser, then they should get SSO across both apps. But if it's closer to the second scenario, the user would need to authenticate again in the new browser.
Thanks,
Will