Disclosed are methods for making foam laminates having a concave surface. The methods include: (a) placing the foam sheet-containing sandwich structure in a mold; and (b) shaping the laminate in the mold to form the foam laminate having a concave surface. In the methods, the foam sheet is a slice from a foam bun in which a foaming reaction occurs such that the foam rises in a direction away from a base, such that one major surface of the sheet is a foam rise direction facing surface and the opposed major surface of the sheet is a base facing surface, and prior to placing the foam laminate in the mold, the foam sheet is oriented so that the shaping forms the foam laminate having the concave surface wherein the foam rise direction facing surface of the foam sheet faces the concave surface of the foam laminate. Also disclosed are automotive headliners and hoodliners made thereby.