Fellow countryman Thiago Silva was also on target at the Parc des Princes to help PSG move 22 points clear at the top of the table as the league resumed following a three-week winter break.
The capital club started sluggishly but the game burst into life in the 29th minute when Thiago Silva headed home at the far post after former Manchester United winger Angel Di Maria delivered an inswinging corner with his left foot.
Di Maria then produced an exquisite chip over the defence 10 minutes later and Maxwell left keeper Jean-Louis Leca helpless with a spectacular first-time volley from an acute angle that resembled Van Basten's effort for Netherlands against Soviet Union 28 years ago.
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David Luiz almost made it a hat-trick of Brazilian goals early in the second half when he rattled the crossbar with a venemous close-range header.
Unbeaten PSG now have 54 points from 20 games, 22 ahead of Monaco who entertain mid-table Ajaccio on Saturday.
Bastia remained fifth from bottom with 22 points.
(Writing by Tony Jimenez; Editing by Justin Palmer)
