Before revision:  Finally, we propose a tentative definition and show the existence of \int_0^t\phi d\omega for a c\`adl\`ag integrand \phi with a finite variation index and a c\`adl\`ag integrator \omega with jumps bounded in a predictable manner.
After revision:  Finally, we propose a tentative definition and show the existence of \int_0^t\phi d\omega for a cadlag integrand \phi and a cadlag integrator \omega with jumps bounded in a predictable manner.