The invention is directed to novel compositions and methods for modulating inflammatory and/or immune responses. Such novel compositions are derived from extraembryonic cells (herein referred to as EE cells) including but not limited to extraembryonic HLA-G positive cells (herein referred to as extraembryonic HLA-G positive or “EHP” cells) and Amnion-derived Multipotent Progenitor cells (herein referred to as AMP cells), alone or in combination with each other and/or in combination with various matrices and/or devices and/or other suitable active agents. The novel methods of modulating inflammatory and/or immune responses utilize such novel compositions.