A spokeswoman for Google France declined to comment. An unsourced 2012 media report mentioned a claim for 1 billion euros by French authorities, which Google denied at the time.
The tax authority usually issues at least one preliminary assessment before its final assessment, which can be challenged in court if not accepted, tax advisers say.
Earlier this month, Finance Minister Michel Sapin ruled out striking a deal with the U.S. search engine company as the British government recently did, saying the sums at stake in France were "far greater" than those in Britain.
Google reached a 130 million pound ($181.18 million) settlement with British tax authorities for the period since 2005, which British lawmakers criticised on Tuesday as "disproportionately small".