Elastic Wave Sensing is a potent tool for Structural Health Monitoring (SHM) applications. In this paper, we review the use of fiber Bragg gratings (FBGs) as a viable alternative to conventional piezoelectric transducers. In particular, we present Fabry-Perot filters based on fiber Bragg gratings (FP-FBG) as a possible configuration for enhanced sensitivity elastic wave sensing. Finally we discuss the directional response of FBG-based sensors, and their role in the unique identification of different Lamb modes based on their dispersion characteristics.