Two new stegocephalid (Amphipoda) species of the subfamily Andaniexinae are described: Glorandaniotes vemae n. sp. and Glorandaniotes norae n. sp. Their morphological affinities to their congeners and their phylogenetic position within the subfamily are discussed. Glorandaniotes vemae n. sp. can be distinguished from all its congeners by the elongate article four on the peduncle on the second antenna, whereas the large and powerful lacinia mobilis, combined with the somewhat elongate telson, are unique features for G. norae n. sp. Glorandaniotes vemae n. sp. is the third species within the genus that is recorded from the Indian Ocean, whereas G. norae is the first Glorandaniotes recorded off the western coast of South America.