OK FIFA2003 should work ok (Direct3D 8.1 driver 16Mb and Radeon is listed), Have you updated to DX9.0a or still at DX8.1 or even a different one ?)
EDIT :
I'd recommend unisntalling ALL Ati drivers you find installed. Reboot and install DX9.0a
http://www.microsoft.com/downloads/d...displaylang=en
then install these drivers
Radeon Omega Drivers 2.4.07 for XP/2k
I use them in that configuration and they work for me. I don't know if they work for you (Different laptop but same M6 chipset)