You should not have a problem running a 32 bit program on Windows 7 64 bit.
What is the exact name of the program?
When you say "metro" are you talking about some Windows 8 Metro app? If so, AFAIK you cannot run Metro apps on Windows 7.
You're right on. Windows 7 doesn't support the use of the "Metro" style start screen apps because of how it's designed.
@OP. If you can get us the name of the software program we will be able to help you better.