Nearly three years after a couple from India and their two young children froze to death while trying to cross the border from Canada into the U.S., two men on Monday will face trial on human smuggling charges, accused of being part of a criminal network that stretched around the world.

Prosecutors say Indian national Harshkumar Ramanlal Patel, 29, ran part of the scheme and recruited Steve Shand, 50, of Florida, to shuttle migrants across the border. Both men have pleaded not guilty in federal court in Minnesota. They will stand trial before U.S. District Judge John Tunheim, with proceedings expected to last about five days.