Cubiclefun:
Folks,
after the stamping can we tear the I-94 from the approval notice and staple it in Passport?
--- YES( Actually you should have detached early and are supposed to attach I-94 in passport)
Or
what should we do? Like having the entire approval notice within the passport?
--- ---------READ the Instruction on the back side of your H1 approval notice, once you receive the I-94 attached with H1 approval notice you are supposed to detach I-94 and staple it in your Passport (If you have expired I-94 still in the passport attach the newI-94 on top of expired I-94 on same page, when you go out of US you have to surrender both the I-94 at airline counter better staple bothI-94 you can ask for a pin or stapler from airline counter and both will go to BCIS record that you departed on XYZ date.
****Keep the Original H1 approval at home in your BCIS (INS) file/folder, always make copes of complete H1 approval both the sides and keep the copies in separate file. Also always get the copy of current I-94 or expired I-94 (front and back) and keep the copies in your BCIS file at home because if you loose the current I-94 then you can get newI-94 if you have the copy.