The CZ-82 is 9mm Makarov, (9x18) and has a bullet that is .365 inches in diameter, while the standard 9mm (9x19) is .355 in diameter. The 9x19 (9mm Parabellum) round, while it is smaller in diameter, generally won't fit the magazines or chambers of 9x18 guns -- the cartridge is too long.
There's little in the way of heavier loads available for the 9x18 -- about all that's available varies from 92 gr. to 95 gr. ammo. With such a minor difference in bullet weight, you'd not be likely to see a difference in points of impact at 25 yards, even if using a rest while firing.
Getting a spare front sight (so he can grind one down a bit) or a higher rear sight will probably be the best option.