The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point \(x\) under the action of an endomorphism \(f\) of a quasiprojective complex variety \(X\). More precisely, it claims that for any point \(x\) in \(X\) and any subvariety \(V\) of \(X\), the set of indices \(n\) such that the \(n\)-th iterate of \(x\) under \(f\) lies in \(V\) is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a \(p\)-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety.