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The home side began on the front foot and only a brave block prevented Yohan Cabaye from giving the hosts an early lead.
Gevorg Kasparov was then called into action twice in quick succession to deny Karim Benzema and Patrice Evra, but there was little he could do to prevent Antoine Griezmann from putting France ahead with an unerring strike into the far corner.
Cabaye doubled France's lead 10 minutes into the second half with a precise 20-yard shot that whistled into the far corner.
Benzema attempted to flick in Mathieu Valbuena's cross from inside the area in the 58th minute, but Kasparov made a smart reaction save to deny him.
However, Benzema found himself on the scoresheet in the 78th minute with a simple header from Griezmann's cross.