  Bulk-boundary correspondence has achieved a great success in the
identification of topological states. However, this elegant strategy doesn't
apply to the Dirac semimetals (DSMs). Here, we propose that kagome lattices
Pd$_3$Pb$_2$X$_2$ (X = S, Se) are unique type-I DSMs without surface Fermi arc
states, which are different from the previous well-known DSMs, such as Na$_3$Bi
and Cd$_3$As$_2$. Pd$_3$Pb$_2$X$_2$ are characterized by nontrivial topological
invariant Z$_3$, guaranteeing a higher-order bulk-hinge correspondence and the
existence of higher-order Fermi arcs, as well as fractional corner charges on
the hinges. The type-I DSMs are located at the phase boundaries of several
topological phases, including type-II DSMs and three-dimensional weak
topological insulators. The phase transitions can be easily manipulated by
external strain. Our results provide feasible platforms for the study of these
unique DSMs and the related phase transitions.
