"Two people coming from the Middle East were arrested at the weekend," Robert Holzleitner, a spokesman for prosecutors in the western city of Salzburg, told AFP.
"Indications of a possible link to the Paris attacks are currently being investigated."
He said the two were arrested in a centre for refugees in Salzburg "on suspicion of belonging to a terrorist organisation".
The Kronen-Zeitung daily reported online that the two men are French and entered Austria in October together with members of the cell who carried out the November 13 attacks in the French capital that killed 130 people.
Three of the nine Paris attackers have yet to be identified, including two of the three suicide bombers who blew themselves up outside the Stade de France stadium, who appear to have used fake passports to sneak into Europe.
Holzleitner declined to comment on the nationalities of the two arrested in Austria or give any more details. The Austrian interior ministry and police also declined to comment.
The tabloid also said that the two had been waiting in Salzburg, a city popular with foreign tourists, for orders to carry out more attacks.
News of the Austrian arrests came a day after a 29-year- old man with suspected links to the Paris attacks claimed by the Islamic State (IS) group was arrested in a housing estate in the eastern Paris suburb of Villiers-sur-Marne.
Six counter-terrorism judges are overseeing the investigation -- an unprecedented number for France -- and the probe has seen 2,700 police raids and 360 people placed under house arrest.
Eight men have been arrested in Belgium, where the attacks are thought to have been organised, and one man has been detained in Turkey on suspicion of scouting the Paris concert hall, bars and restaurants where the attacks took place.
