These datasets are for samples collected from Volcan de Colima (Mexico) which is at coordinates: 19°30’46" N 103°37’02" W / 19.512727°N 103.617241°W. This volcano erupts magmas that are crystal-bearing, making those cooled volcanic rocks ideal for experimentation. And so samples were cored from blocks from that volcano and those cores were then returned to high temperatures (up to 1000 C) and then deformed under controlled stresses. These data form the central part of this publication: https://doi.org/10.1016/j.jvolgeores.2024.108198. The deformation experiments were performed at LMU (Munich, Germany). The volcano coordinates from which the samples were collected are given above. The samples were deformed in a high temperature hydraulic press equipped with acoustic emission sensors. This is the ideal device for determining the behaviour of the magmas from Volcan de Colima under the same stresses and temperatures at which they were erupted. The data give key clues as to the modes of flow behaviour of the magma in volcanoes. This work provides generalised insights into magma flow behaviour.