There are many decorative stitches used by the weavers here in South America to join panels that they weave on their backstrap looms together. They are usually large and colorful and meant to be a decorative feature of the finished piece.
When I spent some time with some backstrap weavers from Vietnam recently I saw that they use a simple looping stitch to join panels of cloth into blankets and skirts and wanted to try it. I cut a table runner I had woven into two pieces and joined them side by side. The piece ended up being wide enough to sew into a bag for my longer tools like my largest shuttles and medium size beaters.
I chose to make the stitch discreet by using a color similar to those already used in the woven piece. I think the shape of the stitch matches the "comb" design in the weaving very nicely. I could have used a completely contrasting color for the stitch to make it more decorative.
The stitch forms a column of diagonal lines on the back of the piece but you can also loop into those diagonals to make the back decorative as well and that probably makes the join firmer too.
More abouyt this on my blog.