How does one safely static_cast between unsigned int and int?

Quoting the C++03 standard, §4.7/3 (Integral Conversions):

If the destination type is signed, the value is unchanged if it can be represented in the destination type (and bit-field width); otherwise, the value is implementation-defined.

Because the result is implementation-defined, by definition it is impossible for there to be a truly portable solution.

While there are ways to do this using casts and conversions, most rely on undefined behavior that happen to have well-defined behaviors on some machines / with some compilers. Instead of relying on undefined behavior, copy the data:

int signed_val;
std::memcpy (&signed_val, &val, sizeof(int));
return signed_val;