Marin Cilic squared the tie thanks to a 6-4, 7-5, 6-2 win over Viktor Troicki.
Before that, Frenchman Gilles Simon , seeded eight, beat Serbia's Viktor Troicki 6-3 6-4.
Davydenko will play second seed Rafael Nadal in the final after the Spaniard earlier made short work of Viktor Troicki.
Chardy will next face former U.S. Open champion Juan Martin Del Potro, the sixth seed who beat Serbian Viktor Troicki 7-6 2-6 6-1.
He will return to singles action in the Masters 1000 tournament with a second match round against either compatriot David Ferrer or Viktor Troicki of Serbia.
Stepanek beat Viktor Troicki, a late replacement for world number two Djokovic who was ruled out with gastroenteritis, while Janko Tipsarevic saw off Berdych 7-5 6-2 2-6 7-5 (7-5).
The 2010 champions reached the last eight on Saturday when Viktor Troicki and Nenad Zimonjic defeated Belgian pair Steve Darcis and Ruben Bemelmans in four sets 6-4 6-4 5-7 6-4.
Djokovic aside, Serbia has also produced Janko Tipsarevic and Viktor Troicki, who are both ranked in the top 50 on the ATP tour, giving them a formidable Davis Cup team.
Novak Djokovic's Serbia will play either the U.S. or Brazil after beating Belgium 3-2, having lost Sunday's two dead rubbers as the world No. 1 and Viktor Troicki were rested.
But despite his near two-month absence from competition, the 31-year-old was back in the groove swiftly to set up a meeating with either Japan's Kei Nishikori or Viktor Troicki of Serbia.
World No. 46 Andreas Seppi beat his fellow Italian, qualifier Stephane Bohli, 6-1 7-5 to set up a second-round clash with either Serbian eighth seed Viktor Troicki or Austria's Jurgen Melzer.
In other second-round matches, eighth seed Janko Tipsarevic lost to Viktor Troicki 6-3 6-4 in an all-Serbian match, and Igor Kunitsyn of Russia ousted Robby Ginepri of the United States 6-4 6-3.
The Spanish fourth seed -- beaten in the semifinals at Indian Wells by Djokovic's conqueror and eventual champion Ivan Ljubicic -- will next play Argentine wildcard David Nalbandian, who overcame Serbian 30th seed Viktor Troicki 6-3 4-6 6-4.
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Before that, Sunday's fourth-round men's matches are: 17-time major champion Roger Federer against 15th-seeded Gilles Simon, No. 4 David Ferrer against No. 23 Kevin Anderson, No. 6 Jo-Wilfried Tsonga against Viktor Troicki, and No. 11 Nicolas Almagro against No. 32 Tommy Robredo.
Djokovic responded by breaking twice at the start of the third set to establish a 3-0 lead and he wrapped up the set in just 28 minutes and ploughed through the fourth set to set up a third-round meeting with countryman Viktor Troicki.
The Serbians' hopes of going through to the last four may rest on Viktor Troicki, who was beaten in five sets by American No. 1 Sam Querrey in the second singles rubber after being asked to replace the injured world No. 10 Janko Tipsarevic.
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