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What I'd like to do is use the screen of my Company laptop for my desktop and just be able to switch back and forth between the two hard drives by using the Company laptop as the primary monitor/screen. Can this be done?


You left out the most important bit of information: Do you want to do this when you are in the office, with your laptop on the desk next to your company PC? Or do you want to do it when you are not in the office?

If it's the former, then your laptop should be able to connect to the company network via ethernet cable or 802.11 wireless networking. Then you just need to map your desktop drive into your laptop's network places. That process varies depending on the particular OS you have in your PC, but they all do the same thing: Let you select your desktop drive (or some folders on it) just like they were drives on your laptop. On your desktop, you set those drives or folders up for sharing with the access limited to just you. (Hint: Simplest if your desktop and laptop use the same user name and password.)

If you want to do that from outside the company network, then you need your IT department's cooperation to set up a Virtual Private Network (VPN) client on your laptop. If you have your laptop on the internet, you use the VPN client software to tunnel in through the firewall and appear as a PC on the company network. Then you can see the shared drives or folders on your desktop PC (assuming it is running). Your desktop PC doesn't need to have anybody logged in locally, so you can just leave it running. (Only problem is if the power fails, you need somebody to go turn on the desktop PC.)