Are you saying the 5mm, 0.5mm pitch parts I pointed out do not fit the 5mm, 0.5mm pitch pads on your card?Atmega328P-MU, -MUR, -MN, -MNRhttp://www.mouser.com/Search/Refine.aspx?Keyword=atmega328p-m'
Hey, I think Crossroads may be right on this. It's pretty close - the footprint is different but it looks like it is compatible. This is from DipTrace. This is the QFP32 7mm/7mm/0.5mm and QFN32 5mm/5mm/0.5mm footprints side by side. The problem here is that Diptrace doesn't show the exact outline of the package itself so if you imagine a worst case scenario here the QFN's pins might be just inside the radius of the QFP's traces. But it may be OK too.
A caviat is that QFNs are not as easy to solder as QFPs so keep that in mind. I hot air solder them myself and inspect them under a microscope.
I have use Atmel's QFN32 5mm/5mm/0.5mm packages. Too bad I don't have a PCB with a QFP32 7mm/7mm/0.5mm footprint on it otherwise I would see if it would work out for you.
Fritzing - you get what you pay for. Not really an optimal design tool.