The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is a rare superconducting phase characterized by finite-momentum Cooper pairing and a spatially modulated order parameter. While FFLO physics has traditionally been discussed in Pauli-limited superconductors, recent studies have suggested that a distinct orbital FFLO state can emerge in Ising superconductors. Here we report experimental evidence for orbital FFLO superconductivity in bulk 2H-NbSe2 under strictly in-plane magnetic fields. Our measurements reveal a first-order superconducting transition at high fields together with a pronounced sixfold anisotropy of the upper critical field within the basal plane. These observations go beyond the conventional expectation that orbital depairing suppresses FFLO formation in bulk materials. Instead, they show that the interplay among Ising spin-orbit coupling, Pauli paramagnetism, and orbital effects can stabilize finite-momentum pairing even in the bulk limit. Our results establish bulk 2H-NbSe2 as a platform for orbital FFLO physics and broaden the landscape of modulated superconducting states in layered superconductors.