Only draw 1/4 of the basket, the remaining 3/4 can be mirrored saving time.
I'd probably start with a front and side profile sketch for the general size and angle on the side of the basket as well as a top view bottom and top profile and general size to drive everything else. Sweep the vertical strips with it's path sketch having a pierce or coincident relation to the front & side profile sketches. The vertical profile sketch can just be straight lines for the most part whereas the horizontal strips need to zig zag back and forth given the provided image reference. Then do the horizontal strip sweeps. Finish it off by drawing thr top of the basket and mirroring it.
Attach the sldprt file of what you have completed so far.
Sinan, your question; Is it about solid modeling? Or is it about 'material' or 'finish' of your solid model?