  We study Hopfions in the Faddeev-Skyrme model with potential terms on R^2 x
S^1. Apart from the conventional Hopfions, there exist winding Hopfions, that
is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1)
modulus twisted P times along S^1, having the Hopf charge PQ. We consider two
kinds of potential terms, that is, the potential linear in the field and the
ferromagnetic potential with two easy axes, and present stable solutions
numerically. We also point out that a Q-lump carries the unit Hopf charge per
the period in d=2+1.
