  In this paper we present the all-loop conjecture for integrands of Wilson
line form factors, also known as reggeon amplitudes, in N=4 SYM. In particular
we present a new gluing operation in momentum twistor space used to obtain
reggeon tree-level amplitudes and loop integrands starting from corresponding
expressions for on-shell amplitudes. The introduced gluing procedure is used to
derive BCFW recursions both for tree-level reggeon amplitudes and their loop
integrands. In addition we provide predictions for reggeon loop integrands
written in the basis of local integrals. As a check of the correctness of
gluing operation at loop level we derive the expression for LO BFKL kernel in
N=4 SYM.
