Alfaro started his professional career with Newell's Old Boys in the mid-1970s. In 1981, he was signed by Panathinaikos FC in Greece, and he played under the Greek surname Bistakis.[1] He returned to South America later that year to play for América de Cali in Colombia where he won two league championships.[2]
In 1983, he returned to Argentina to play for River Plate, he was part of the championship winning team of 1895-1986 and helped the team to win their first ever Copa Libertadores in 1986. The club also won the less prestigious Copa Interamericana during his time at the club.[3]
He was selected to play for Argentina in the Copa América1987. In 1987, he returned to Newell's Old Boys where he won another league title in 1987–1988.[3] Towards the end of his playing career he had a spell in Chile playing for O'Higgins until his retirement in 1992.