Tim Cook
Apple CEO Tim Cook waves as he attends a talk in Beijing, Oct. 23, 2014. REUTERS/China Daily

Apple's CEO Tim Cook will visit India this week to meet Prime Minister Narendra Modi, sources told Reuters on Monday. The news comes the same day Cook visited China after suffering a series of setbacks in its biggest overseas market.

Cook, who is visiting China after announcing a $1 billion investment in Chinese ride-hailing app Didi Chuxing, will fly to India Tuesday for his first official visit to the country as the head of the U.S. technology company, one of the two sources said. Modi had met with Cook during the Indian premier's U.S. visit last year, aimed at boosting foreign investments in India.

Apple is looking to open its first retail stores in India, as Cook seeks growth opportunities in a nation of 1.3 billion people, where it only has about a 2 percent market share. Apple currently sells its iPhones, iPads and Macs in India through third-party resellers.

Apple's sales in India surged 56 percent in the first three months of this year, despite established players like Samsung and Intex dominating the larger shares of the Indian market currently.

"Apple is outperforming the overall market in India, and still has great growth potential," Canalys Mobility analyst Wilmer Ang reportedly said.

Apple on Monday declined to provide details of Cook's schedule in India, according to Reuters.

Cook, who visited an Apple Store in central Beijing, met with Didi Chuxing President Jean Liu Monday, as the California tech giant faced a series of problems in recent weeks in China.