Textile fabrics consolidated with a binder that is made from a binder system are described. The binder system may include: a) 30% or less by dry weight of at least one polymer based on polyvinyl alcohol; b) 70% or more by dry weight of at least one starch, wherein the at least one starch comprises 50% by weight or more of one or more natural starches based on the total weight of the at least one starch; c) 0 to 10% by dry weight of at least one crosslinker; d) 0 to 10% by dry weight of at least one filler; and e) 0 to 10% by dry weight of at least one additive, wherein a sum of components a) through e) is 100% by dry weight of the binder system. Method of making the textile fabrics consolidated with binders made from the binder systems are also described.