The two could meet in Sunday's final if they continue their winning ways in China.
And his latest is sure to land him in trouble with tournament organisers after he suffered a meltdown on the way to a Shanghai Masters exit to Juan Martin del Potro.
Fognini occupied Nadal for 63 minutes, nine minutes longer Nadal's second-round match.
"I played a very good match, I don't know how many mistakes I made, but very few", said the 16-time Grand Slam victor and top seed in Shanghai.
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He added: "I was just unfocused there".
Bedene retired at the China Open during the last 16 match with Spain's Roberto Bautista Agut.
And he underlined his status as the man to beat in Shanghai as he battered the Italian Fognini 6-3, 6-1. But Dimitrov won the final five points to get through.
Zverev, 20, has already qualified for the ATP World Tour Finals at the O2 next month but is yet to decide if he will play in the NextGen Finals in Milan, the new ATP tournament featuring the world's top 21-and-under singles players across the ATP World Tour season.
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At the start of this week in Shanghai, Del Potro was placed 25th in the race to London despite reaching the US Open semi-finals, knocking out Roger Federer at the quarter-final stage.
The German prodigy and the 29-year-old, whose career has been beset by injury, went toe to toe in the second set and the tie break was just as tight until Del Potro grabbed the crucial mini-break.
Zverev's fury at letting the match slip became apparent in the third as he massacred his racquet as the Argentine broke for a 3-2 lead in the decider.
The chair umpire handed Zverev a code violation and a warning. "I was feeling good the whole match, even coming out of the first set, which he was playing well".
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In recent trading day PetroleoBrasileiro S.A. - Petrobras (PBR-A) stock showed the move of 0.40% with the closing price of $9.95. The sales growth rate for a stock is a measure of how the stock's sales per share (SPS) has grown over a specific period of time.
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