Murphy replaced the Coventry keeper Kieren Westwood after 86 minutes at the RDS in Dublin to add to his substitute appearance against Turkey in September 2003.
He had little to do, comfortably collecting a free-kick from Karim Ziani and seeing a shot from Foued Kadir go well over the crossbar.
Two goals from Robbie Keane secured the win after Paul Green, the Derby County midfielder who was making his first start, had opened the scoring.