Thapsigargin (Tg) is a potent SERCA pump inhibitor with the potential to treat cancer and COVID-19. We have extended the scope of the asymmetric allenic Pauson-Khand reaction to furan-tethered allene-ynes, a stereoconvergent transformation affording the 5,7,5-ring system of Tg in good yields and high enantioselectivity. Computational studies of the oxidative cyclization step show that the furan and chloroacetate groups contribute to this high selectivity.