Marseille's Brahim Hemdani has turned down the offer to play for Algeria
The French-born pair of Brahim Hemdani and Meriem Camel have both rejected calls to play for Algeria's national side.
Algeria's Belgian coach Robert Waseige was hoping the duo would play in a friendly against Burkina Faso on 18 August.
Marseille's Hemdani, who was linked with a move to English side Bolton Wanderers earlier this year, has rejected calls from Algeria in the past, saying he'd rather concentrate on his club career.
Camel, who plays for fellow French side Bordeaux, has already played for France at a junior level.
"They have repeatedly declined my requests to join the national team," Waseige said.
"They hope that they will one day play for the French national team."
In recent years, the Desert Warriors have been chasing Europe-based players who have dual nationality to persuade them to play for Algeria.
French-born defender Antar Yahia made history when he became the first footballer to take advantage of a change in Fifa's rules on international eligibility when he made his debut for Algeria last January.
Yahia, a former France under-18 international, was then followed by Samir Beloufa and Ouadah Abdelnasser were also French junior internationals but then opted for international careers with Algeria.