  In this paper, we study backward stochastic Volterra integral equations of
type-I with time delayed generators. Under some condition (small time horizon
or a Lipschitz constant), we derive an existence and uniqueness results. Next,
with the help of two examples of this BSVIEs we provide this condition is
necessary. However, for special class of delayed generators, the previous
existence and uniqueness result hold for an arbitrary time horizon and
Lipschitz constant. We end this paper by establishing under an additive
assumptions, a path continuity property.
