Fonckia Roewer, 1913 is revised and two new species are described in it: Fonckia contulmo sp. nov., from Monumento Nacional Contulmo, Araucanía, Chile, diagnosed mainly by the enlarged tubercles on the lateral margins of the dorsal scutum, between the median region of scutal area II and the posterior margin of the scutal area III; and Fonckia sosia sp. nov., from Parque Nacional Conguillio, Malleco, Chile, distinguished mainly by the absence of a dorso-basal apophysis on femur IV of the male and a spiniform, enlarged retroapical tubercle on tibia IV of the male. We propose the generic synonymy of Diconospelta Canals, 1934 under Fonckia Roewer, 1913, and the specific synonymy of D. vazferreirae Mello-Leitão, 1946 under F. processigera (Sørensen, 1902). We also propose the new combination F. gallardoi (Canals, 1934) comb. nov. As a consequence, the genus is henceforth composed of four species. We present an identification key for the species of Fonckia, as well as diagnoses and a discussion of the Chilean Pachylinae.