  Studies of ferromagnet-superconductor hybrid systems have uncovered magnetic
interactions between the competing electronic orderings. The electromagnetic
(EM) proximity effect predicts the formation of a spontaneous vector potential
inside a superconductor placed in proximity to a ferromagnet. In this work, we
use a Nb superconducting layer and Ni ferromagnetic layer to test for such
magnetic interactions. We use the complementary, but independent, techniques of
polarised neutron reflectometry and detection Josephson junctions to probe the
magnetic response inside the superconducting layer at close to zero applied
field. In this condition, Meissner screening is negligible, so our measurements
examine only additional magnetic and screening contributions from proximity
effects. We report the absence of any signals originating from EM proximity
effect in zero applied field. Our observations indicate that either EM
proximity effect is below the detection resolution of both of our experiments
or may indicate a new phenomenon that requires extension of current theory.
From our measurements, we estimate a limit of the size of the zero field EM
proximity effect in our Ni-Nb samples to be $\pm0.27$ mT.
