  We experimentally compare two types of interface structures with magnetic and
non-magnetic Weyl semimetals. They are the junctions between a gold normal
layer and magnetic Weyl semimetal Ti$_2$MnAl, and a ferromagnetic nickel layer
and non-magnetic Weyl semimetal WTe$_2$, respectively. Due to the ferromagnetic
side of the junction, we investigate spin-polarized transport through the Weyl
semimetal surface. For both structures, we demonstrate similar current-voltage
characteristics, with hysteresis at low currents and sharp peaks in
differential resistance at high ones. Despite this behavior resembles the known
current-induced magnetization dynamics in ferromagnetic structures, evolution
of the resistance peaks with magnetic field is unusual. We connect the observed
effects with current-induced spin dynamics in Weyl topological surface states.
