Electrospinning has received tremendous attention in the fabrication of nanofibrous scaffolds over recent years and employed in different biomedical applications because of their biomimetic nature. Especially, the electrospun nanofibers exhibit several beneficial features including natural extracellular matrix (ECM), interconnected pores, large surface area, ease of functionalization and mechanical performance that holds huge importance in influencing the cell adhesion, differentiation and proliferation behaviour. To date, acknowledging the wide range of beneficial features, the electrospun nanofibers have been used in wound dressing and tissue engineering applications. This review summarizes various efforts have been made in these areas with several representative examples indicating use of various materials and approaches. Further the concerns for future direction regard to clinical phase transfer has been discussed.