World number four Murray thumped a hapless Paul-Henri Mathieu 6-2 6-3 while top seed Djokovic was even more ruthless in a 6-1 6-3 win over China's Gong Mao-xin.
Champion Novak Djokovic challenged Britain's Andy Murray to set up a final showdown with him after the two top seeds strolled into the second round of the China Open on Tuesday.
World number four Murray thumped a hapless Paul-Henri Mathieu 6-2 6-3 while top seed Djokovic was even more ruthless in a 6-1 6-3 win over China's Gong Mao-xin as he seeks to defend his title at the $2.5 million tournament in the Chinese capital.
"It feels good to be back at a court where I've had a lot success in the last couple years," said the 2008 Beijing Olympics bronze medallist.
Looking ahead to the weekend, the 2008 Australian Open winner added: "Why not a final with Andy Murray. We have not played each other for a long time."
Djokovic enjoys a 4-3 winning record over Murray although he was beaten the last time the pair met 18 months ago in Miami.
Murray appeared to have shrugged off the jetlag that kept him awake for hours following his arrival in Beijing and demolished the error-prone Frenchman, firing 10 aces during the lopsided encounter.
"I served quite well today. I didn't once get broken and served a lot of aces," said the Scot before adding he was felling better after a week of illness.
"I started the match well and didn''t give him any opportunities except in the second set at 3-2. I think that was the only game where he had a couple of break points on my serve. It was a good first round."
The 23-year-old added to Mathieu's frustration by breaking his serve four times in front of small but noisy partisan Chinese crowd sporting several Scottish flags.
Even a hatful of reckless backhands by Australian Open finalist failed to flatten the 107th ranked Frenchman, whose flashes of brilliance rarely tested Murray.
Former world number one Maria Sharapova's woeful season continued as the Russian faded rapidly during her 7-6 6-2 defeat by unseeded compatriot Elena Vesnina.
"It's not been a good end of the season for me. I have not had good preparations and will have to find away to improve next season," said the 12th seed, who has slipped to 21st in the rankings.
he other Russian seeds in the women's tournament enjoyed better fortune as second seed Vera Zvonareva flattened Germany''s Andrea Petkovic 6-4 6-1 while number seven Elena Dementieva was given the run around before she overcame 40-year-old Kimiko Date Krumm 6-3 1-6 6-3.
Twice French Open runner-up Robin Soderling will be on court later on Tuesday at the Olympic tennis centre.
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