Abdeslam, a French national of Moroccan origin who grew up in Belgium, is believed to be the last surviving member of a terror squad that hit cafes, a concert hall and the national stadium in Paris on November 13.
More than a month after his capture in Belgium, Abdeslam was brought to France by helicopter early today where he was formally placed under arrest before being swept off to the main Paris court, where he spent several hours.
Berton said his client was not interrogated at length.
"He explained to judges that in light of the hour he was removed from the jail (in Belgium) this morning, he prefers to explain himself later, but insisted that he will explain himself," said Berton.
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Another hearing has been set for May 20, the veteran lawyer said, adding that his client was being held in the sprawling Fleury-Merogis prison complex outside of Paris.
Jean Reinhart, a lawyer for about 30 families of the attack victims, hailed the extradition, saying "justice is on its way".
Another lawyer for the victims' families, Samia Maktouf, said she hoped Abdeslam would "give elements that would allow the identification of the recruiters and financiers of the terrorist network he belonged to".
Abdeslam was arrested in Brussels on March 18 after four months on the run as Europe's most wanted man.
Prosecutors believe he was in charge of logistics for the Paris attacks, as he rented cars and hotel rooms used by the Islamic State group attackers.
After revealing that nugget of information in his first interrogation, Abdeslam has since clammed up.
Abdeslam's arrest came just days before coordinated attacks on Brussels airport and a metro station that left 32 people dead.