The near-infrared capabilities of Euclid, coupled with high-resolution imaging over wide areas, will open a new parameter space in the study of the brightest z = 6.5-8 Lyman-break galaxies. Using the best deep/wide near-infrared surveys currently available, we predict that Euclid will detect thousands of such galaxies brighter than mAB = 26. These galaxies will 1) constrain the shape and evolution of the knee of the rest-frame UV luminosity function at z gt 6 and 2) provide key targets for follow-up with other facilities to gain a unique insight into properties of galaxies into the epoch of reionization. Finally, spectroscopic grism observations from Euclid will also probe the topology of reionization.