The companies, two of the four current players in the market, said talks are taking place on Orange buying Bouygues's telecoms arm.
French anti-trust authority said Orange, formerly France Telecom, kept business clients from switching to competitors' phone services.
Stéphane Richard insisted his comment that Orange wanted to disengage from its Israeli partner was purely a business matter and not political.
Laurent Fabius said he was against 'any boycott of Israel' after claims that French mobile operator's exit from Israel was a 'miserable statement'.
The media group's move comes after government pressure on Dailymotion owner Orange to keep the Youtube competitor in French hands.
Economy minister Emmanuel Macron says Orange, owners of the video platform, should consider all bids - including from European firms.
The video-on-demand platform has defied sceptics and made strong start in France after major marketing campaign.
Decision casts doubts over immediate prospect of reducing number of competitors in the French market in bid to end a bitter two-year price war.
The former France Telecom's move comes as French ministers encourage 'consolidation' in telecom industry from four to three major players.
The French telecommunications giant says hackers stole data on about 1.3 million clients or potential customers in last month's attack.
Chief financial officer of the country's largest mobile operator said 'prices have reached a floor' after two years of fierce competition.
Newspaper report suggests the former state-owned French telecoms giant has been sharing information with security services for many years.
It is Lagarde's third appearance before judges probing her role as French finance minister in huge mediation payout to tycoon Bernard Tycoon.
Labelling it a 'serious alert', an organisation that monitors work conditions said the majority of these suicides were 'explicitly related to work'.