An increasing number of people from far-flung corners of the world have quietly tried to sneak into the United States from the Mexican border in the past year.

Those individuals now account for some of the hundreds of thousands of mostly Latin American migrants who been arrested as they try to cross over into the country.

The arrests of more than 8,000 people from India, China, Romania, Bangladesh and Nepal between October 2015 and the end of August is offering a new challenge to immigration agents tasked with fully identifying would-be immigrants and quickly deporting people caught crossing the border illegally.

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New challenges: More than 8,000 people from India, China, Romania, Bangladesh and Nepal were arrested trying to cross the border in the past year (Cars entering the US from Tijuana above)

The group of overseas migrants represents a tiny fraction of the more than 408,000 people caught crossing the Mexican border illegally in the last year.

The arrests suggest a rising trend however in the number of migrants opting for a convoluted trek that sometimes wends across the seas to South America, over land to Central America and then through Mexico before arriving at the US border illegally.

For decades Mexico dominated the discussion on illegal immigration as the country from which most immigrants went to the border illegally.

In recent years though the number of Mexican nationals who have been trying to sneak into the United States has dropped.

India and China are now squarely among the top 10 countries of origin for people caught trying to sneak into the United States.

Large numbers of immigrants from those two countries have long come to the United States legally and many have overstayed visas to remain here.

Now some people are taking a different approach altogether by making their way to Mexico to try to sneak into the United States as visas are harder to come by.

Victor Manjarrez, a former Border Patrol sector chief and director of the Center for Law & Human Behavior at the University of Texas at El Paso, said the rising number of migrants from countries far beyond the Americas should be seen as a growing concern.

'That is very unusual. If I was still sitting as the chief of El Paso or Tucson...I'd be a little concerned,' said Manjarrez.

'In the grand scheme, as a percentage, it's relatively small but the raw numbers are such a big jump historically.'

The changing face of illegal immigration at the US - Mexico border is a small part of a broader trend of global migration, with millions of people fleeing their home countries.

But the arrival of so many people from far beyond U.S. borders brings with it broad implications for U.S. border security and other immigration enforcement efforts.

The Homeland Security Department has made arresting, jailing and deporting recent border crossers a top priority for immigration agents.

Most Mexican migrants caught at the border are sent home within just a few days, but for migrants from countries a continent away the process is often far longer and costlier for the government.

Those migrants must wait in immigration jails for travel documents to return home or a judge to decide their fate.

Going down: The number of Mexican nationals trying to sneak into the United States has decreased in recent years (a sign on the border in Arizona)

The uptick in arrivals of people from other continents, combined with an increase in overall border crossings in the last 12 months, has led to a spike of more than 40,000 people being held in immigration jails in recent weeks.

Immigration and Customs Enforcement's budget gives them enough money to house 34,000 people at any given time and the recent overflow has officials worried they may face a budget shortfall of more than $130 million in the coming months if the trend continues.

DHS spokeswoman Gillian Christensen said the agency has enough money to 'operate at current levels' until December 9, when a temporary budget resolution expires.

After that, she said, DHS will work to either shift money from other parts of the department or find another 'alternative budget strategy.'

She described the possible budget adjustment as 'common.'

Manjarrez said border agents and immigration officials face multiple challenges with a rise in immigrants from so far away, including language barriers and crowded detention centers.

'The further away you get from the Americas, the more difficult it is to really know who they are,' Manjarrez said of the government's ability to fully identify some would-be immigrants.

The director of the Washington Office on Latin America's Mexico program, Maureen Meyer, said it appears that many of the overseas migrants are making their way through Mexico via South American countries, including Brazil, where entry visas are either easy to come by or not required. And their final destination is more often than not the United States.

'I think it's reflecting a gradual trend, as of at least particularly the last year,' said Meyer.

While the exact draw of the round-the-world route isn't entirely clear, Meyer said an expanding network of human smugglers appear to be taking advantage of the increasingly popular smuggling routes that use Mexico as a transit country.

'There's a lot of smuggling that goes through Mexico that you don't see,' said Meyer. She added that rumors of lenient treatment of some immigrants in the United States may also be a factor.

The recent influx of overseas migrants may be a harbinger of things to come.

More than 7,000 people who claimed to be from Africa have been arrested in Mexico between January and August, according to statistics maintained by Mexican federal immigration authorities.

The number of such immigrants has been on the rise in recent years.