  Point-like Liouville integrable dynamical defects are introduced in the
context of the Landau-Lifshitz and Principal Chiral (Faddeev-Reshetikhin)
models. Based primarily on the underlying quadratic algebra we identify the
first local integrals of motion, the associated Lax pairs as well as the
relevant sewing conditions around the defect point. The involution of the
integrals of motion is shown taking into account the sewing conditions.
