They went down 3-0 to a highly-ranked Belgium in their Group E match in Bordeaux.
Romelu Lukaku got a brace for the Red Devils.
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Axel Witsel was also on target.
Victory against Italy next Wednesday is essential if Martin O'Neill's side are to reach the knock-out stages of the tournament.
Tipperary's Shane Long started the match – the Gortnahoe man should probably have been awarded a penalty early in the second-half and was replaced by Robbie Keane after 78 minutes.
