Thank you for your post.
FileMaker Pro 7 was certified with Windows XP, so if Windows 7 has a Windows XP Mode, then it should work. However, only FileMaker Pro 10 was tested with Windows 7.
Is FileMaker Pro 6.0v4 compatible with Windows 7/ Windows XP Mode both in 64bit?
There are reports that it is. But it depends on the database structure.
Your only accurate answer would be to try it, ON A COPY of the database.