We find charged, abelian, spherically symmetric solutions (in flat space-time) corresponding to the effective action of D = 4 heterotic string theory with the scale dependent dilaton φ and modulus ϕ fields. We take into account perturbative (genus-one), moduli-dependent 'threshold' corrections to the coupling function f (φ, ϕ) in the gauge field kinetic term f (φ, ϕ)F 2 µν , as well as non-perturbative scalar potential V (φ, ϕ), e.g., induced by gaugino condensation in the hidden gauge sector. Stable, finite energy, electric solutions (corresponding to on abelian subgroup of a non-abelian gauge group) have the small scale region as the weak coupling region (φ → −∞) with the modulus ϕ slowly varying towards smaller values. Stable, finite energy, abelian magnetic solutions exist only for a specific range of threshold correction parameters. At small scales they correspond to the strong coupling region (φ → ∞) and the compactification region (ϕ → 0). The non-perturbative potential V plays a crucial role at large scales, where it fixes the asymptotic values of φ and ϕ to be at the minimum of V .