Various corneal marker tools and assemblies are provided for use in ophthalmic procedures to place ink marks on the cornea. One tool assembly includes an applicator containing an ink and a disposable marking tip attachable to the applicator, where ink is injected from the applicator into hollow channels of the marking tip. Another tool assembly includes a reusable handle and a disposable marking tip attachable to the handle. Another tool assembly includes a marker assembled with a cap with an ink pad. Another tool assembly includes a marker tool and a nesting adapter to be used with a patient interface device. Other tools have a one-piece design with a marker head and an handle fixedly joined together. Some tools have pre-inked marking elements, or an embedded light source, or a built-in level indicator, or a ring-shaped marker head, or a leaf spring feature on their marking prongs.