Methods and devices are provided for targeted non-surgical administration of a drug formulation to the suprachoroidal space (SCS) of the eye of a human subject for the treatment of a posterior ocular disorder or a choroidal malady. In one embodiment, the method comprises inserting a hollow microneedle into the eye at an insertion site and infusing a drug formulation through the inserted microneedle and into the suprachoroidal space of the eye, wherein the infused drug formulation flows within the suprachoroidal space away from the insertion site during the infusion. In one embodiment, the fluid drug formulation comprises drug nanoparticles or microparticles.