Searches for permanent electric dipole moments are a powerful way to investigate beyond-the-Standard-Model CP-violation. In this talk, results of a new technique to measure the electric dipole moment of 129Xe with 3He comagnetometry will be discussed. In the HeXeEDM experiment, 3He and 129Xe were polarized using spin-exchange optical pumping, transferred to a measurement cell, and then transported into a magnetically shielded room. The free precession of both species was detected with SQUID magnetometers in the presence of an applied 2.7–4.8 kV/cm electric field and a 2.6–3.0 µT magnetic field. The result from a one-week measurement campaign in 2017 and a 2.5 week campaign in 2018, combined with detailed study of systematic effects, is dA(129Xe)=(1.4±6.6stat±2.0syst)×10−28 ecm. This corresponds to an upper limit of |dA(129Xe)|<1.4×10−27 ecm (95% CL), a factor of five more sensitive than the previous limit set in 2001.