Here, we demonstrate the properties of bromotrichloromethane (CBrCl3) in the context of ultrafast supercontinuum generation in liquid-core fibers. Broadband interferometric and spectroscopic measurements of liquids and fibers indicate suitable optical properties of this halomethane for near-IR supercontinuum generation, which were confirmed in corresponding experiments using ultrashort pulses. The associated simulations showed consistent broadband power redistributions, thus confirming that this halomethane is a suitable candidate for ultrafast nonlinear frequency conversion in liquid-core fibers. It uniquely combines the advantages of an inorganic, i.e., CH-free, material with a non-vanishing hyperpolarizability, allowing to anticipate an integration of second-order nonlinearity into the fiber.