Vályi was appointed professor of theoretical physics at Kolozsvár in 1884, and in the following year he also became professor of mathematics lecturing on analysis, geometry and number theory.
Vályi ay hihirangin ng mga propesor panteorya physics at Kolozsvár sa 1884, at sa mga sumusunod na taon na siya ring naging propesor ng matematika lecturing sa pagtatasa, geometry at numero ng teorya.