He took up archery and was chosen to represent Sweden at the 1960 Summer Paralympics in Rome, but he had to decline due to financial reasons since he would have had to pay all expenses himself.
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Swimming was one of the eight sports contested in the first Paralympics, the 1960 Summer Paralympics in Rome.
Stein was part of the United States team that travelled to Rome, Italy, to take part in the 1960 Summer Paralympics, the first ever Paralympic Games.