Methods, devices, and systems for inserting an implant in the cornea (105) of the eye, where the implant is a microshunt device (405, 515). The microshunt device may comprise an inlet (425) section comprising at least one lumen and at least one inlet opening an outlet (420) section comprising at least one lumen that connects to at least one outlet opening and where the microshunt device (405, 515) is configured to be implanted within the cornea (105) of an eye, where the microshunt device effects the flow of aqueous humor from an anterior chamber (160, 235) of the eye to the anterior surface of the cornea (410, 630), bypassing the trabecular meshwork (145, 240), thereby diverting aqueous humor from the anterior chamber (160, 235) to the surface of the cornea (410, 630).
