Upholstery system for covering a surface, comprising: - a functional layer having a rear face of functional layer adapted to face said surface, and a front face of functional layer opposite to said rear face of functional layer, - a finishing layer adapted to cover said front face of said functional layer, said finishing layer comprising a first end portion of finishing layer and a second end portion of finishing layer opposite to the first end portion of finishing layer; - a first fastening device adapted to removably connect said first end portion of finishing layer to said surface, and a second flexible fastening device adapted to removably connect said second end portion of finishing layer to said surface, so as to retain in use said functional layer in a position interposed between said surface and said finishing layer and between the first fastening device and the second fastening device; wherein said upholstery system is characterized in that it comprises: - a first shape-coupling closing band, formed by a first half-band and a second half-band removably engageable with each other; - a second shape-coupling closing band, formed by a third half-band and a fourth half-band removably engageable with each other; - said second half-band being fixed to the first end portion of finishing layer; and said fourth half-band being fixed to the second end portion of finishing layer; - wherein the first fastening device comprises a first flexible sheet having a fastening portion adapted to be fixed to the surface and an end portion of first flexible sheet opposite to said fastening portion to which said first half-band is fixed; - wherein the second fastening device comprises a second flexible sheet having a fastening portion adapted to be fixed to the surface and an end portion of second flexible sheet opposite to said fastening portion to which said third half-band is fixed. - a functional layer having a rear face of functional layer adapted to face said surface, and a front face of functional layer opposite to said rear face of functional layer, - a finishing layer adapted to cover said front face of said functional layer, said finishing layer comprising a first end portion of finishing layer and a second end portion of finishing layer opposite to the first end portion of finishing layer; - a first fastening device adapted to removably connect said first end portion of finishing layer to said surface, and a second flexible fastening device adapted to removably connect said second end portion of finishing layer to said surface, so as to retain in use said functional layer in a position interposed between said surface and said finishing layer and between the first fastening device and the second fastening device; - a first shape-coupling closing band, formed by a first half-band and a second half-band removably engageable with each other; - a second shape-coupling closing band, formed by a third half-band and a fourth half-band removably engageable with each other; - said second half-band being fixed to the first end portion of finishing layer; and said fourth half-band being fixed to the second end portion of finishing layer; - wherein the first fastening device comprises a first flexible sheet having a fastening portion adapted to be fixed to the surface and an end portion of first flexible sheet opposite to said fastening portion to which said first half-band is fixed; - wherein the second fastening device comprises a second flexible sheet having a fastening portion adapted to be fixed to the surface and an end portion of second flexible sheet opposite to said fastening portion to which said third half-band is fixed.