Bosnich did not claim a regular place in the Aston Villa first team until the 1993–94 season. In the League Cup semi-final against Tranmere Rovers that season, he dramatically stopped three shots in a penalty shoot-out. He later admitted that he should have been sent off before extra-time began for fouling Tranmere's John Aldridge. Villa would go on to win the final, against his former club, Manchester United. In March 1994 Bosnich saved two penalties against Tottenham Hotspur, one from Darren Anderton and one from Nick Barmby, to help secure a 1–1 draw. These were his fourth and fifth penalty saves from open play that season. 1994–95 was Bosnich's first full season as Villa's first-choice goalkeeper, but it was a disappointing season for the club as they narrowly avoided relegation.