ATLANTA — Janie James says she was cool at first when Indian outsourcing company Infosys Ltd. approached her about a job near Atlanta, even though she was unemployed. She didn’t know much about the company, and it seemed a step down from her old vice president post at Primerica Inc.

In the end, she decided she could use experience gleaned from her work at life insurer Primerica and another stint at a financial-investment company to help Infosys build its insurance outsourcing business. Now James is an operations manager at the Bangalore, India, company’s first predominantly US-staffed center, which opened in April.