  We study experimentally nanoscale Josephson junctions and Josephson
spin-valves containing strong Ni ferromagnets. We observe that in contrast to
junctions, spin valves with the same geometry exhibit anomalous Ic(H) patterns
with two peaks separated by a dip. We develop several techniques for in-situ
characterization of micromagnetic states in our nano-devices, including
magnetoresistance, absolute Josephson fluxometry and
First-Order-Reversal-Curves analysis. They reveal a clear correlation of the
dip in supercurrent with the antiparallel state of a spin-valve and the peaks
with two noncollinear magnetic states, thus providing evidence for generation
of spin-triplet superconductivity. A quantitative analysis brings us to a
conclusion that the triplet current in out Ni-based spin-valves is
approximately three times larger than the conventional singlet supercurrent.
