Federer and Djokovic set up Paris showdown
Switzerland's Roger Federer celebrates after defeating Argentina's Juan Martin Del Portro during their quarter final match at the ATP World Tour Masters 1000 indoor tennis tournament on November 1, 2013 at the Bercy Palais-Omnisport in Paris
Djokovic swept into the semi-finals with a rapid-fire 6-1, 6-4 win over Stanislas Wawrinka, while Federer came through a second set wobble to edge Juan Martin del Potro 6-3, 4-6, 6-3.
It will be the 30th meeting between the two, but the first since Djokovic defeated the Swiss great in the ATP World Tour final in London a year ago.
Djokovic, Paris Masters champion in 2009, said that Federer was having a strong finish to what had been a disappointing season.
"Roger is probably experiencing the worst season that he had in last 10 years, but he's still a player to beat in every tournament, because he's Roger Federer, because he has won 17 Grand Slams, and we all know how successful a career he has," the Serb said.
"You cannot underestimate him, although maybe he's not at the form where he was when he was No. 1 of the world. But I have been watching his matches in Basel last week and here. I think he's playing really well."
Fifth seed Federer had lost for the third straight time to the towering Argentine in the final of the Basel tournament on Sunday, on what was home turf for him.
But with Del Potro looking decidedly leg weary from his marathon efforts in recent weeks that have seen him win 15 out of his last 16 matches, Federer was in commanding form from the start.
He broke serve to lead 3-1 and had little difficulty pocketing the first set from there in just 30 minutes, leaving his opponent stranded on the baseline with a succession of deft drop shots.
Del Potro tried hard to make a fist of it at the start of the second set, at one point leaping over the net onto his opponent's side after failing to chase down another Federer drop shot.
The end looked in sight for the South American, but he fought off a series of break points and then summoned up a huge effort in the 10th game to finally take Federer's serve, levelling the set scores in the process.
Del Potro held firm till he was broken to love in the fifth game of the decider, but once again he got off the floor immediately to level at 3-3.
Federer made it three straight breaks of serve in the next game, however, and the 32-year-old powered on to take another step towards what would be a 22nd career Masters title, and only his second in Paris after that of 2011.
Earlier, in the first of the quarter-finals, second seed Djokovic got off to the perfect start against Wawrinka with a break in the second game to lead 3-0 and he wrapped up the first set at 6-1 after just 26 minutes.
The Swiss seventh seed did have his chances early in the second set, but failed to put away any of the four break points he had in the second game.
Two games later he had another chance to break but once again came up short and he immediately paid the price as Djokovic pounced on the Swiss player's errors to take a 4-3 lead.
The Serb served out for the win, Wawrinka ceding match point with a backhand drive that sailed marginally wide.
For Wawrinka, the consolation was that he had already clinched a place in next week's ATP World Tour Finals in London, his first appearance in the season-ending finale.
The Paris quarter-finals flung up a star-studded line-up featuring the eight men who will contest the ATP Tour title in London.
It was the first time since Montreal in 2009 that eight of the top 10 players in the world had reached the quarter-finals of one of the Masters Series tournaments.
In the evening quarter-finals, top seed and world number one Rafael Nadal was pitted against French number one Richard Gasquet, who reached the ATP Tour finals for only the second time on Thursday evening when remaining rival for the final spot, Milos Raonic, lost to Tomas Berdych.
The Czech, who will lead his country in the Davis Cup final against Serbia in Belgrade later this month, plays in the final match of the day taking on title-holder David Ferrer of Spain.