The present invention provides flexible binder compositions comprising one or more polycarboxy emulsion copolymer has a measured Tg of 40.degree. C. or less, such as from -45.degree. C. to 25.degree. C., and a polyol crosslinker. In one embodiment, the binder compositions comprising the polycarboxy emulsion copolymer can be used in making pultruded composites, such as sheets, for example, flexible gypsum board facing sheets, and flexible non-woven articles such as, for example, carpet backing.