The 21st seed came from one set down to beat the Serbian 1-6 7-5 6-3.
In Saturday's other Superleague game, London Knights fought back from 2-0 down to beat Bracknell Bees 4-3.
Italian second seed Francesca Schiavone came from a set down to beat Bulgarian Tsvetana Pironkova 3-6 6-3 6-1.
He also fought back from 5-0 down to beat Mark Williams 10-9 in the final a year later.
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Inter win their seventh straight Serie A match as they come from a goal down to beat Lazio 2-1.
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Sir Edmund Hillary's ghost would come down and beat you senseless with a crampon, but you could wear it.
The world No. 36 came from one set down to beat Italian 21st seed Andreas Seppi 7-5 6-3 6-2 6-2.
Substitute Song Heung-min had earlier scored a 96th-minute winner as South Korea came from 1-0 down to beat Qatar 2-1.
Fish battled back from two sets down to beat Davydenko 4-6 6-7 6-2 6-1 6-2 in three hours 26 minutes.
The Swiss ace dropped his serve early on but dominated from 3-1 down to beat the 16th seed in 76 minutes.
And he completed a hat-trick of Masters victories in 2004 when he came from 7-2 down to beat Ronnie O'Sullivan 10-9.
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In France's Ligue 1, Paris St Germain came from a goal down to beat Nancy 2-1 at Parc des Princes on Saturday.
In the women's draw, top seed Victoria Azarenka came from a set down to beat Belgian No. 28 Kirsten Flipkens 3-6 6-3 6-0.
Next up for six-time grand slam champion Djokovic is France's Jo-Wilfried Tsonga, who came from one set down to beat Canadian Milos Raonic.
The Argentine won 6-3, 6-4, and will now face unseeded Bulgarian Grigor Dimitrov who came from a set down to beat Marcos Baghdatis.
Williams, who has battled injuries and illness, came from a set down to beat Chanelle Scheepers 4-6 6-2 6-3 in the opening rubber.
Calzaghe impressed on his American debut as he came back from a first round knock-down to beat Bernard Hopkins in Las Vegas in April.
Hunter recovered from 7-3 down to beat Fergal O'Brien 10-9 in the 2001 final after finding inspiration with wife Lindsey during the midway interval.
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Marshall got down to beat the ball away but, with the home defence slow to react, Sutton lunged in to shoot home from eight yards.
In the other game in Group A, reigning champions TP Mazembe fought back from 1-0 down to beat visiting Esperance of Tunisia 2-1 in Lubumbashi.
Egypt's world champion Amr Shabana found his best form to fight back from a game down and beat Canadian Graham Ryding 9-11 11-6 11-9 11-5.
But rising French star Richard Gasquet progressed to the second round, coming from a set down to beat compatriot Arnaud Di Pasquale 3-6 6-3 6-4.
Earlier in the afternoon, Tottenham scored three times in seven minutes at White Hart Lane to fight back from 1-0 down to beat Manchester City 3-1.
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Novak will play Stefan Koubek in the last four after the Austrian fought back from a set down to beat Croatia's Ivan Ljubicic 2-6 7-5 7-5.
Inter loses 1-0 at home to bottom of the table Novara while the day before Milan come from a goal down to beat Udinese away from home.
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Leeds avoided a Carling Cup upset by twice coming back from a goal down to beat West Yorkshire rivals Bradford in a first-round tie at Elland Road.
Kansas hadn't led at halftime in any game since its tournament opener against Detroit, and came from 13 points down to beat Ohio State in the semifinal.
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The in-form Serbian had to come from a set down to beat Davydenko 3-6 6-4 7-5 in a late night encounter lasting over two and a half hours.
In a thrilling final, James and fellow crew members Andy Hodge, Peter Reed and Steve Williams came from three-quarters of a length down to beat Australia and claim gold.
Listening to Leal's recitation is jarring for me because I hear it in a different rhythm, as though it were a song with the down-beat on every other digit.
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