Cook is on his first trip to the country since taking over from late co-founder Steve Jobs in August, keeping to a closely guarded agenda that has included talks on Monday with Beijing's mayor and a visit to Apple's flagship store in the capital.

"Tim is in China meeting with government officials. China is very important to us and we look forward to even greater investment and growth there," said Carolyn Wu, China spokeswoman for the maker of iPhones, iPads and iPods.

Wu declined to give details of Cook's full agenda, other than to say he would meet other government officials on Tuesday.

Cook was photographed smiling by eager fans at the Apple store, who posted some of the images on social networking sites, but the new chief executive has a thicket of tricky problems to cut through in China, which is both Apple's most important manufacturing hub and biggest potential market.

China is the world's largest mobile market and already Apple's second biggest market overall, but the firm has been losing ground there to arch rival Samsung Electronics in smartphones and has yet to introduce the latest version of its top-selling iPad to the country.

In the last quarter of 2011, Apple captured three quarters of China's tablet PC market, while its iPhone ranked fifth in the country's smartphone sector, industry figures showed.

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Apple has deals in place with China Telecom and Unicom to sell its iPhone in the country, with the only other Chinese carrier, China Mobile, looking to clinch a deal with the California company.

An alliance with China Mobile, the country's biggest mobile carrier, is viewed by many industry analysts as crucial to the acceleration of iPhone sales through China, though compatibility problems with the carrier's network have yet to be resolved.

Cook has said that Apple has merely scratched the surface in China as it looks to expand. It has only five stores in the country, though it also sells through more than 100 resellers.

Apple is also waging a legal battle with a Chinese firm over the local rights to the iPad trademark. The long-running dispute with Proview - a financially weak technology company that claims to have registered the trademark - is making its way through Chinese courts and has threatened to disrupt iPad sales.

Proview executives declined to comment on Tuesday over whether they will be meeting Cook. No meetings have been set so far between the Apple chief and the Chinese company's lawyers and creditors, sources familiar with the situation said.

"He should be here to also understand more of the iPad issue and handle the situation," said one source close to Proview.

Apple has not launched its new iPad in China yet, so people have been smuggling the new gadget from as far away as the United States and Australia. The new iPad has also been smuggled in from Hong Kong.

Apple is also reviewing labor standards at the Chinese firm it uses to assemble its iPhones and iPads, Foxconn Technology Group, which has been accused of running sweatshops. The group is the Taiwan parent of Hong Kong-listed Foxconn International Holdings Ltd..

At the outset of Cook's visit to China, an activist group based in Hong Kong published an open letter, demanding "that Apple ensure decent working conditions at all its suppliers".

As the former chief operating officer, Cook helped set up Apple's sprawling supply chain centered on Asia.

In the open letter, Students & Scholars Against Corporate Misbehavior listed grievances cited by employees at Apple suppliers, including "poverty wages" and excessive and forced overtime.

"They describe their daily routine as work, eat and sleep. They described themselves as machines that repeated the same monotonous motion for thousands (of) times a day," it said.

"With all its success in the global marketplace, Apple undoubtedly has (the) ability to rectify these problems."

(Additional reporting by Poornima Gupta in SAN FRANCISCO and Jonathan Standing in TAIPEI)

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