Experts determined two years ago that the painting had been looted from Mandel, relying on a small hole in the canvas as evidence of its provenance.
Mandel's lover had cited the hole above the seated woman's torso when she reported the painting stolen after the war.
About 450 pieces from the collection by masters such as Monet, Gauguin, Renoir, and Picasso have been on display in Bern, the western German city of Bonn, and in Berlin.
Gruetters called the Couture painting's return "a moving conclusion to the exhibitions of the Gurlitt trove" and underlined Berlin's commitment to provenance research.
"We have Georges Mandel's family to thank that we could show this work in all three exhibitions," she said.
More than 1,500 works were discovered in 2012 in the possession of Munich pensioner Cornelius Gurlitt.
His father, Hildebrand Gurlitt, had worked as an art dealer for the Nazis since 1938.
The discovery of the stash made headlines around the world and revived an emotional debate about how thoroughly post-war Germany had dealt with art plundered by the Nazi regime.
But determining their provenance has been slow, and it is still not clear how many of the works were stolen.
The Couture portrait was the fifth work from the collection restituted to heirs, and the sixth definitively classed as having been looted by the Nazis.
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