The aim of this work is to optimise a microwave melt texture growth process in a vertical travelling solvent zone technique in a single mode microwave cavity to grow large single-domain Y123 samples. Indeed, the large observed thermal gradient (>180°C/cm) in combination with the possibility of translating the sample across the microwave cavity allows this technique to achieve conditions similar to those used in the classical MTG using a vertical furnace. However, the particular heating mechanism, in the microwave case, allows for a novel range of thermal conditions to be accessed, particularly a larger thermal gradient, to grow large Y123 single-domain in novel thermal conditions. In a first effort to optimise this microwave technique, a composition corresponding to a Y211-rich Y123 mixture, doped with cerium dioxide, was sought in order to improve the Y123 domain size. Secondly, the influence of the melt temperature and the bar diameter on the size and orientation of the Y123 quasi-crystals was investigated. The influence of each parameter is discussed with respect to the classical Y123 growth mechanism, and an explanation of the angle, which is observed to be near to 45°, between the ab-plane and the pulling direction is proposed. The Bean critical current density without applied magnetic field, for a cleaved sample at 77 K reaches 50,000 A/cm 2 showing the high quality of the microwave melt processed material.