UEFA Nations League: Didier Deschamps 'improved' Karim Benzema's maturity after helping France to title
Benzema scored France's equaliser in a 2-1 win over Spain which handed the world champions the trophy, and Deschamps was delighted with his striker.
Down by two goals at half-time on Thursday following quickfire strikes from Yannick Carrasco and Romelu Lukaku, a demoralising run of results and performances appeared set to continue in Turin.
Belgium will also have revenge on its mind as the last time it met France was in the semifinals of the 2018 World Cup, when Roberto Martínez's side lost 1-0.
"It would be a mistake not to look into this," the veteran Le Graet, 79, told Friday's edition of sports daily L'Equipe, a day after world football's governing body held the summit with its 211 member federations in an attempt to rally support.
France play Belgium in Turin next Thursday, 7 October, in the semi-finals of the Nations League, with hosts Italy taking on Spain the previous day in Milan.
Griezmann made it 41 goals for his country when he beat Finnish 'keeper Lukas Hradecky at the near post to make it 2-0 in the 54th minute.
Giroud, who turns 35 next month, misses out despite sitting just five goals away from equalling Thierry Henry's all-time record tally of 51 for Les Bleus.
Euro 2020: French football chief 'doesn't think' manager Didier Deschamps' job under threat after loss to Switzerland
Le Graet was asked at the general assembly of the French Olympic committee if France's shock last-16 loss on penalties to Switzerland would put Deschamps' job under threat.
Euro 2020: 'It's painful', says France captain Hugo Lloris after shock Round of 16 defeat against Switzerland
Didier Deschamps' team fell behind in Bucharest on Monday but Karim Benzema scored twice before Paul Pogba added a third to leave France seemingly on course for the quarter-finals.
Euro 2020: Kylian Mbappe misses decisive penalty as Switzerland stun world champions France in Round of 16
Mario Gavranovic equalised in the 90th minute as Switzerland came from two goals down before Yann Sommer saved Mbappe's penalty to book Switzerland a quarter-final clash against Spain.
Follow all the live action from the Round of 16 match between France and Switzerland on Firstpost.com's LIVE blog
Catch the Live score and updates from the Group F match between Portugal and France
France play their final Group F match with Portugal in Budapest on Wednesday evening.
Hungary threatened to blow Group F wide open when Attila Fiola gave the hosts a shock lead in first-half stoppage time after catching out the France defence.
The French were flying, even if victory in the end was of the quintessential, economic Didier Deschamps blueprint.
France next face Hungary in Budapest on Saturday before rounding off Group F with another mouth-watering clash against holders Portugal on 23 June.
Euro 2020: Didier Deschamps’ pragmatic approach could help frightening and formidable France find success again
Hardened and experienced, Deschamps proved he thinks of the greater good only — that Les Bleus are everything.
Even the generally pragmatic Deschamps struggled to contain his enthusiasm when asked recently about a forward line featuring Benzema alongside Kylian Mbappe and Antoine Griezmann.
Benzema, who has 27 goals in 81 international appearances, was last week named as this season's best French foreign-based player by the country's players' association.
Benzema has not played for France since October 2015.