The Mixed Doubles even saw the duo of Sania Mirza and Rohan Bopanna prevailed 6-5 against Jelena Jankovic and Jean-Julien Rojer.
Last month he announced he would be bringing down the curtain on his season prematurely to focus on being full fit for next year.
Despite three grand slam titles, Murray has never been a world number one.
The Serb`s end-of-year dominance in recent years had seen him sweep three straight titles in Paris and lift an incredible four consecutive Tour finals crowns in London.
If the Briton defeats Berdych he would then take on Milos Raonic or Jo-Wilfried Tsonga for a chance to claim the number one ranking.
Novak Djokovic, battling to hold onto his world number one ranking from the fast-charging Andy Murray, takes on Marin Cilic later.
Murray advanced in much easier fashion by demolishing France`s Lucas Pouille 6-3 6-0. The Scot will next take on Czech seventh seed Tomas Berdych or another Frenchman, Gilles Simon.
The record four-time champion will remain top of the rankings if he reaches the final in the French capital.
Cilic will face either world number one Novak Djokovic or 14th seed Grigor Dimitrov in the quarter-finals in Paris.
It went less smoothly for Murray, who overcame a blip to down Spaniard Fernando Verdasco 6-3 6-7(5) 7-5 before U.S. Open champion Wawrinka was knocked out by German qualifier Jan-Lennard Struff 3-6 6-7(6) 7-6(1).
The ministry has asked the tennis body to elect a new President within 90 days.
Swiss great Roger Federer fell to ninth place, while French Gael Monfils rose to seventh place.
Defending champions Sania and Hingis had lost to Ekaterina Makarova and Elena Vesnina in the semi-finals of the WTA Finals Singapore yesterday.
In the doubles finals Russian Olympic champions Ekaterina Makarova and Elena Vesnina beat US Open winners Bethanie Mattek-Sands and Lucie Safarova 7-5 (7-5) 6-3.
Kyrgios was beaten 6-3 6-1 by Mischa Zverev in the second round in Shanghai after a bizarre display in which he delivered a series of half-hearted serves and walked off court before the German returned the ball to him.
The second-seeded Indo-Swiss combination squandered a one-set lead to go down 6-3, 2-6, 6-10 to the Russian pair of Ekaterina Makarova and Elena Vesnina.
Hansie Cronje was the toughest bowler I have faced. He was tricky to play. Even when I am set, when I see Hansie coming in to bowl I used to tell myself, anybody but him.