SSP fabric shops are all agents for China. If you want Italian quality, then you must locate from the source. Even some high end designers obtain their fabrics from China, India or Vietnam. You can try heading on up to Guangzhou to the Textile City ( MTR stop is Sun Yat Sen University) for a small city size area of all the textiles and extras you can imagine. Take at least five days to seriously search through the area, and samples of what you are looking for, the names in written Chinese. These are serious traders who sell in bulk but the prices are much cheaper.
Shanghai, you may find some good quality but it tends to be same same everywhere. Good luck and go to the source. If you want Italian, then go to Italy.