The invention is generally related to an insert for being embedded in a silicone hydrogel contact lens. The insert is made of a crosslinked materials which are rigid in dry state at room temperature (from about 22° C. to about 26° C.), have a high oxygen permeability and a high refractive index in fully hydrated state. Such materials are useful for making inserts in embedded contact lenses for correcting corneal astigmatism, presbyopia, and color blindness lenses and for imparting photochromic characteristics to the lenses. The invention is also related to a method for making embedded silicone hydrogel contact lenses comprising an insert of the invention therein and to embedded silicone hydrogel contact lenses comprising an insert of the invention therein.