How I made a woven textile box
Cut cca. 2,5 cm semi hard batting strips
Cut stripes of different fabric cca. 6 cm .
Iron a paper-glue strips to the edge of the strip
I prepare the strip
I wove the bottom...
...and the sides
Before completion cut the top
Finally ending the top with a binding.
Remark: You may make extra box with (wide)satin stripes too.