TUSB7340: USB3.0 to USB3.0 direct communication on TUSB73x0

no, PICe- bus is used for communication between SOC and USB device

Will this work ?

you can put two TUSB7340 on different PCIe slot

Can you think of an IC for the ????? block that will work ?

Just to clarify, the right-hand-side of the PCIe bus shown in the block diagram represents my "main design".  The left-hand-side of the PCIe bus is going to be a test board that I plan on designing in order to test my main design.  Rather than making the test board a PCIe card to insert into a PCIe slot in a PC, I was hoping to design a test board with a USB-C interface.  Is this possible ?  If so, what IC would go in the ????? box ?

Something like this ...  https://www.amazon.com/PCI-Express-USB3-1-Controller-Adapter-Penalty/dp/B06Y4KJCSH

Can somebody please explain why this will not work ? 

The TUSB7320 is a xHCI controller. It must be configured by system software (like operating system)., so it's only work with system with SOC or CPU

Okay, so reverting back to my question at 12:14pm today, does TI have a chip similar to Marvel's chip in this adapter ? 

Or will this adapter not work either (i.e. like the TUSB7320) ?

this one is similar to TUSB7340, it need PCI-e slot as well

What if Thunderbolt was used instead of USB3.0 ?  Can PCIe be connected directly to the USB-C connector or would an IC be needed for the ????? block ?

thunderbolt is interface too, it needs PCIe tot talk to CPU

For clarification, the USB-C port will be connected to a MacBook Pro that has a Thunderbolt 3 port, so the MacBook will be the CPU.  That said, can I connect the PCIe interface directly to the USB-C connector ?  If so, what is the pinout ?  If not, does TI have a bridge for this ?