pci-eslot 1 is probably integrated.  you can press F2 and turn the onboard NIC off in the bios.  if you're under warranty, dell will replace the board.

Well PCI Express Slot 1 is actural a slot on the motherboard right next to the 3 white PCI Slots.

I did go into the setup and turn off the intergraded NIC, but I still getting the msg:

sorry, that was really my only guess ... other than making sure the NIC isn't in the boot order.

Try this : How do I resolve "Alert! Error initializing PCI Express NIC bridge. Nic Failure" error on my Dell system?