  The concept of point-like "jump" defects is investigated in the context of
affine Toda field theories. The Hamiltonian formulation is employed for the
analysis of the problem. The issue is also addressed when integrable boundary
conditions ruled by the classical twisted Yangian are present. In both periodic
and boundary cases explicit expressions of conserved quantities as well as the
relevant Lax pairs and sewing conditions are extracted. It is also observed
that in the case of the twisted Yangian the bulk behavior is not affected by
the presence of the boundaries.
