  Let $\Phi$ be a locally convex space and let $\Phi'$ denote its strong dual.
In this paper we introduce sufficient conditions for the existence of a
continuous or a c\`{a}dl\`{a}g $\Phi'$-valued version to a cylindrical process
defined on $\Phi$. Our result generalizes many other known results on the
literature and their different connections will be discussed. As an
application, we use our results to show the existence of a $\Phi'$-valued
c\`{a}dl\`{a}g L\'{e}vy process version to a given cylindrical L\'{e}vy process
in $\Phi'$.
