Predictably, Sweden came closest to winning the game but Berg was denied a hat-trick when his header struck the crossbar and Hart was able to tip a 25-yard shot from Harbuzi over the bar.
With 19 minutes left, Coventry should have got back in the game but Leon Best headed over the bar from six yards out but Matt Hollandalso smashed a 30-yard scorcher against the crossbar at the other end.