The reactivities of commercially available Ti2AlC or Ti3SiC2 powders with uncoated SiC fibers or SiC powders were evaluated in this paper. When Ti2AlC-SiC samples were hot pressed or hot isostatically pressed at temperatures up to 1500 degrees C, fully dense composites were obtained. The latter were characterized by X-ray diffraction and electron-dispersive spectroscopy in a scanning and transmission electron microscope. Differential thermal analysis up to 1550 degrees C was also carried out. In all cases, SiC reacted with the Ti2AlC powder resulting in the formation of Ti-3(Al1-xSix)C-2 TiC and Al1+xTi1-x, where x ranges from 0 to 1. In the limit x=1, pure Al forms. Conversely, Ti3SiC2 samples, reinforced with uncoated SiC fibers or powders, can be hot pressed in vacuum at temperatures as high as 1500 degrees C to produce fully dense composites with no apparent reaction between the matrix and fibers. Based on these results, Ti3SiC2 can, but Ti2AlC cannot, be reinforced with SiC. Such reinforcements will be needed if the MAX phases are to be used as structural materials at very high temperatures.