Chronic wounds and ulcers are posing a devastating manifestation on the socioeconomic status across the globe along with the patient compliance. It reinforces a need for the development of successful alternative treatments for the chronic wound care and ulcer management practices. This review explores the progressive developments being made in the fabrication of electrospun nanofibrous scaffolds towards elimination of microbial infection from chronic wounds to accelerate the wound healing process. Functional three dimensional nanofibrous scaffolds produced by electrospinning have great potential in a wide spectrum of biomedical practices, such as tissue engineering, drug/gene delivery and wound dressing. Moreover, this review also highlights the materials and post modification methods, such as the functionaliation of electrospun nanofibrous scaffolds using growth factors, so that such smart and bioactive nanofibrous scaffolds could be made suitable for wound healing applications.