Djokovic lines up Anderson in Shanghai quarters
On Sunday, Basilashvili upset fourth-seeded Juan Martin del Potro in the final in Beijing. Really also took some chances, serve and volley, second serve, " the top-seeded Federer said.
Federer defeated Roberto Bautista Agut of Spain 6-3, 2-6, 6-4, a day after being taken the distance by Daniil Medvedev of Russian Federation. "In the third set I really started to figure it out, as well, how aggressive or how tactical I wanted to make the match".
"Obviously, I'm going to try to do everything I can to get to number one", said Djokovic.
But in the ninth game of the deciding set, Federer made the breakthrough on his opponent's serve, pumping his fist as another hard-won victory loomed into view.
Federer will play eighth-seeded Kei Nishikori, a finalist in Tokyo last week, in the quarterfinals.
World number seven Dominic Thiem's bid to qualify for the next month's ATP World Tour Finals suffered a blow as he was edged out 6-4 6-7 (8) 7-6 (4) by Australian Matthew Ebden.
The Spaniard folded at the end of a 27-shot rally to surrender the first break of the match to the world No. 2, who soon wrapped up the first set.
Third seed Del Potro won four straight games from 3-5 down in the opening set before recovering from 2-6 deficit in the second set tiebreak to set up a third round meeting with Croatian Borna Coric.
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The 30-year-old Del Potro had lengthy treatment and strapping put on his knee, but conceded the match after losing the first set 7-5.
A Masters event is a level below a Grand Slam, but Djokovic was rapt to crush Cecchinato.
The Swiss looks some way short of his best form and for the second match in a row dropped a set.
After his victory, he said: "It was extremely hard, that is why I was very happy at the end".
Basilashvili will next play fourth-seeded Alexander Zverev in the second round. The Serb is on a 15-match winning streak, which includes title runs at Cincinnati and the U.S. Open.
He will take on seventh-seeded Kevin Anderson of South Africa, whom he leads 6-1 on head-to-head.
The German will next face 11th-seeded Briton Kyle Edmund, who produced a clinical performance to beat Nicolas Jarry of Chile 7-6 (5) 6-3 in 90 minutes.
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