The Austrian reaches the elite event for the second consecutive year.
The Argentine fell and landed on his left wrist on Friday night in Shanghai.
The Slovenian-Spanish duo formed in 2017.
Top 10 pair conceded walkovers.
The Frenchwoman is the first from France to qualify for the WTA Finals since 2006.
Aussie fined and loses prize money after abrupt retirement in Shanghai.
The Frenchwoman's last-second request has been denied.