Modern surveys allow us to access to high quality measurements, by sampling the galaxy distribution in detail also in the emptier regions, voids. Cosmic voids present themselves as a new tool to constrain cosmology. In this talk, I first briefly introduce the use of voids for cosmology. I also discuss the systematic effects affecting void analysis in the framework of current and future surveys. Then, I present the most recent cosmological constraints obtained from voids and in particular I examine the use of the Alcock-Paczynski effect to extract such constraints.Finally, I present a forecast for void abundances with the future Euclid and WFIRST missions and obtain, using the Fisher matrix formalism, a prediction for the constraints that void abundances from those surveys will set on cosmological parameters.