In their first face-to-face meeting, President Donald Trump and India's Prime Minister Narendra Modi will attempt to build trust and a rapport in what some are calling a "bromance in the making."

If they don't, billions of dollars could be a stake.

When Modi meets Trump on Monday at the White House for the first time, a big elephant will be in the room: immigration and the hotly contested H-1B program.

India continues to be a big beneficiary of this popular visa program, a key way Indian IT talent makes its way to the U.S. to work for Silicon Valley's biggest companies, such as Apple, Google and Accenture, among others.

But over the past three months, Trump unveiled the "hire American buy American" initiative, which has put the current H-1B program under review. Any dramatic changes could hurt India's IT outsourcing industry, which plays a significant role in driving India's economic growth.

A senior Indian government official said Modi is prepared to dive into this complicated discussion by highlighting the value Indian-Americans have contributed to the U.S. economy, including an estimated 64,000 jobs.

Modi may also use Indian IT firm Infosys as a poster child for investment from the outsourcing industry. Infosys recently announced it's planning to hire 10,000 Americans over the next two years to demonstrate a willingness to invest in U.S. jobs.