A comprehensive renovation got underway in 2010. Conducted in five stages, it refurbished the interior of the 1969 mall, expanded, renovated and replaced various parking garages, remodeled the interior of the 1987 mall and -among other things- added a new west side parking structure. 
Drawing from www.parly2.com  

Here, shoppers stroll on a rooftop parking deck. An entrance to "Luxembourg" is seen in the background. Luxembourg ["Lewk-sahm-bor"] is a name given to a section of the circa-1987 South Wing. Other areas of PARLY 2 are known as Concorde, Opera, Vendome, Etoile, Notre-Dame, Madeleine, Saint-Germain, Tuileries, Pont Neuf, Pont des Arts and Saint-Michel. These were named after fashionable districts in Paris.
Drawing from www.parly2.com  

Speaking of fashionable, here is a post-renovation view of the Pont des Arts ["Pohn day zar"] shopping concourse. 
Drawing from www.parly2.com  

Above, we see more results of the 200 million Euro mall makeover. This is the Saint-Michel ["San Mee-shel"] section of the shopping facility. The mall "entree" of the Truffaut garden center is seen on the left.
Drawing from www.parly2.com  

The PARLY 2 mall has been a Unibail-Rodamco holding since 2007. As a result of the merger with Australia's Westfield, in June 2018, the official name of the shopping hub was changed to WESTFIELD PARLY 2 in September 2019. By this time, the floor orientation has been altered. Instead of Levels 1, 2 and 3, there are Levels 0, 1 and 2.

Graphic from Unibail-Rodamco-Westfield