persistent private browsing ?

[Erez D]

Hello

Today browsers support Private Browsing mode (e.g. sandbox) . however, when
i close that window, all it's data is lost, next time i will again need to
supply my login, password, etc

What i want, is a way to sandbox a site (e.g. facebook), and reopen it
tomorrow in the same sandbox. i.e. when i am going to a web page not from
that sandbox, if that web page includes pages from facebook, it will not be
able to track my facebook identity as i login to facebook only from the
sandbox.

the only way i can do it right now is by accessing facebook from a
different browser than the rest of the pages.

however there are many websites (facebook, google twiter etc.) and i do not
have so many browsers

is there a way to open a private browsing page, and be able to access it
again after reopening the browser ?
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