Users want to use my facebook app for many hours without refreshing the browser.
But token expires in 2 hours. Now I ask users to refresh the page but that's annoying.
I don't want to ask offline access permissions because it will scare some users.
The best solution will be somehow "relogin" and get new token without refreshing the page. Is it possible?
Unfortunately I believe this is impossible by design (if you mean for it to happen without user intervention). If the user is still logged in to Facebook you can redirect the top-level page to Facebook and it will bounce you right back with a new code (as it sounds like you are doing already), but that is only possible because of the Facebook cookie that it can check. If you try to do anything from your server, it will be rejected because that cookie will not accompany the request. Same goes for trying to make a call to facebook from javascript -- since your code is running in a different domain, the cookie will not accompany the call and Facebook will reject it. The only way that Facebook can even know who the user is, and that they are still logged in, is to see that cookie. And the only way that can happen is if the browser itself is redirected to the facebook.com domain.
It's worth mentioning also that Facebook has blocked the only logical workaround, i.e. loading the oauth url in an iframe. If you try it you will see that they detect the page is being loaded in an iframe and output a page with a link on it which does a top-level redirect to break out of the frame. So not only does this approach not work, it's clear that Facebook has specifically made it impossible as part of their architecture.
Edit: If what you mean to do is not avoid the refresh altogether but just have it happen automatically when a new token is needed, you can do something like this:
This is assuming you have something before this code that will process a signed_request parameter if it is present and assign a value to $token (either explicit code of your own or the appropriate SDK entries). The shown code can then be used anywhere you need to check if $token is still valid before proceeding.
I presume, guess this is not possible,FB architecture would not allow it. And why is offline_access such a problem!!!!!!...anyway offline_access is the best optimal solution I guess....
Try acquiring tokens with the offline_access permission.