  The row (column) completion problem of polynomial matrices of given degree
with prescribed eigenstructure has been studied in \cite{AmBaMaRo23}, where
several results of prescription of some of the four types of invariants that
form the eigenstructure have also been obtained. In this paper we conclude the
study, solving the completion for the cases not covered there. More precisely,
the row completion problem of a polynomial matrix is solved when we prescribe
the infinite (finite) structure and column and/or row minimal indices, and
finally the column and/or row minimal indices. The necessity of the
characterizations obtained holds to be true over arbitrary fields in all cases,
whilst to prove the sufficiency it is required, in some of the cases, to work
over algebraically closed fields.
