Lacrimal implants and related methods providing secure, wedgable retention within a lacrimal punctum and associated canaliculus of an eye are disclosed. The lacrimal implants can comprise an implant body configured for at least partial insertion through the lacrimal punctum and into the canaliculus. The implant body can include first and second portions, and can extend from a proximal end of the first portion defining a longitudinal proximal axis to a distal end of the second portion defining a longitudinal distal axis. The implant body can be configured such that, when implanted using an integral dilator, an angled intersection exists between the proximal and distal axes. In this way, at least a portion of the implant body can be biased against at least a portion of the lacrimal canaliculus located at or more distal to a canalicular curvature, thereby retaining an implanted position of the lacrimal implant using anatomical structures.