 Born in Quilmes, Buenos Aires, Klimowicz started his career at Instituto Atlético Central Córdoba in the Primera B Nacional.He was sold to Rayo Vallecano of La Liga in 1996, scoring 11 goals in his first season but being relegated to Segunda División; the latter club was later banned from buying or selling foreign players, for failing to pay the accorded sum of 240 million pesetas.Klimowicz returned to the Spanish top division in December 1997, when he signed a four-and-a-half-year contract with Real Valladolid.