  We present magnetic torque, specific heat and thermal expansion measurements
combined with a piezo rotary positioner of the bulk transition metal
dichalcogenide (TMD) superconductor NbS2 in high magnetic fields applied
strictly parallel to its layer structure. The upper critical field of
superconducting TMDs in the 2D form is known to be dramatically enhanced by a
special form of Ising spin orbit coupling. This Ising superconductivity is very
robust against the Pauli limit for superconductivity. We find that
superconductivity beyond the Pauli limit still exists in bulk single crystals
of NbS2. However, the comparison of our upper critical field transition line
with numerical simulations rather points to the development of a
Fulde-Ferrell-Larkin-Ovchinnikov state above the Pauli limit as a cause. This
is also consistent with the observation of a magnetic field driven phase
transition in the thermodynamic quantities within the superconducting state
near the Pauli limit.
