Best suggestion is to use a wide zig-zag stitch over all the seams using that fabric using a matching thread. For future, to avoid this problem, make sure all fabric you buy for your quilts is decent quality thread count. You check this by looking at the back of the fabric and seeing how close together the threads are. If they are not close together, don't use it, it will wear out. Step 2 is to make sure the stitch length on your machine is set at 2 - 2.5 setting, or 10-12 stitches per inch. If your stitching is too big on your piecing, it is more likely to fall apart.