Customers of the outsourcing firms, meanwhile, are interested in onshore operations in locations that help manage the risk of having too much work done in one location, said Arora.

A number of offshore outsourcing firms have opened or announced plans for local delivery centers. "The objective is to try to make them broad-based, full delivery centers, but I think there is some ways to go before we get there," Arora said.

Mahindra Satyam gets 51% of its revenue from customers in the Americas, 24% from European customers, and the balance from other parts of the world.

The firm employs more than 33,000 worldwide, including some 3,000 in the U.S. The company's largest vertical is manufacturing at 32%, following by technology, media and entertainment at 21%.

The Indian firms tend to recruit out of colleges and then put these new hires through an extensive training program, said Arora.