Superconductivity in the presence of strong spin-orbit coupling and magnetism has attracted great recent attentions because of its relevance in realizing topological superconductors. In this talk, I will discuss our recent effort in the isolation of a single layer of niobium diselenide (NbSe2), a new non-centrosymmetric superconductor with strong spin-orbit coupling. As a result of the antisymmetric spin-orbit coupling, the electron spin in single-layer NbSe2 becomes Ising-like (i.e. spins locked to the out-of-plane direction), giving rise to unique magnetic properties in the superconducting state. I will present measurements of the material’s upper critical field, which significantly exceeds the Pauli paramagnetic limit, supporting the picture of electron pairing with Ising spins. I will also discuss our measurements of the superconducting gap by tunneling spectroscopy under high magnetic fields. The results provide strong evidence for finite spin susceptibility arisen from mixed-parity pairing correlations in the superconductor. Possible routes to realize topological superconductivity in this material system will also be discussed.