After the break Leicester took the lead when Iheanacho converted Vardy s cross at the second attempt. The Foxes then survived a minor scare when Ibrahima Diallo s shot flew just wide, while James Maddison spurned a good chance to settle it after coming on as a substitute.
In the endm though, Leicester held out fairly easily. They will now be looking forward to their meeting with Thomas Tuchel s side on 15 May.
Here are your player ratings for both teams from Wembley Stadium.
LEICESTER CITY PLAYER RATINGS
Schmeichel was steady throughout | Pool/Getty Images
Kasper Schmeichel (GK) - 6/10 - Dealt with Southampton s minimal pressure in the second half, claiming a few high balls into the box.
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Lingard s double leads West Ham past Leicester
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