On 27 November, 1946 Stevenson was one of seven players who had been born in the Irish Free State, to be selected by the IFA to play against Scotland. The other six were Johnny Carey, Con Martin, Bill Gorman, Tommy Eglington, Peter Farrell and Davy Walsh. On 16 April 1947, he scored his last goal for the IFA XI in a 2–1 win against Wales. These two results helped the IFA XI finish as runners-up in the 1947 British Home Championship. Later that year, Stevenson made his last appearance for the IFA XI on 4 October 1947 in a 2–0 win against Scotland.