  Quantum interference effects together with partial frequency redistribution
(PFR) in line scattering produce subtle signatures in the so called Second
Solar Spectrum (the linearly polarized spectrum of the Sun). These signatures
are modified in the presence of arbitrary strength magnetic fields via the
Hanle, Zeeman, and Paschen-Back effects. In the present paper we solve the
problem of polarized line formation in a magnetized atmosphere taking into
account scattering in a two-level atom with hyperfine structure splitting
together with PFR. To this end we incorporate the collisionless PFR matrix
derived in Sowmya et al. (2014) in the polarized transfer equation. We apply
the scattering expansion method to solve this transfer equation. We study the
combined effects of PFR and Paschen-Back effect on polarized line profiles
formed in an isothermal one-dimensional planar atmosphere. For this purpose, we
consider the cases of D$_2$ lines of Li\,{\sc i} and Na\,{\sc i}.
