Domenech's side reached the World Cup final two years ago
France coach Raymond Domenech will have his future decided on 3 July after his side's Euro 2008 exit.
The French lost 2-0 to Italy and 4-1 to Holland to finish bottom of Group C, with their sole point coming from their opening 0-0 draw with Romania.
Domenech will meet with French football federation (FFF) president Jean-Pierre Escalettes and technical director Gerard Houllier next month.
Despite growing media pressure, Domenech has stated he will not resign.
"I am not asking myself that question, as it is a political problem," said the 56-year-old on his future.
"This team has a future, it has a real plan, there are young players coming through, there is something really interesting to do."
The FFF has stated that it will look at the work done by Domenech over his time in charge before making a decision.
"It is necessary to take time to analyse the reasons and the consequences of France's early elimination and to sum up the work done (by Domenech) over the past four years," said the FFF in a statement.
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