Marcus Rashford was lively on the ball, happy to come deep to kick-start moves and used space cleverly all evening.
Cahill, who could start in Thursday's first-against-second clash in Group G, was pushed in the back by Belgian winger Dries Mertens during England's final friendly before Euro 2012.
Southgate's side swept into a two-goal lead as Gary Cahill and captain Harry Kane netted in a dominant first-half display at Wembley.
Conte is said to have infuriated several Chelsea stars with his intense personality and regimented training sessions.
Chelsea defender Cahill is adamant about lifting the trophy at Wembley would be the equal of Tottenham's top four finish.
Chelsea had captain Gary Cahill and Cesc Fabregas sent off and Burnley took full advantage through Vokes's brace.