About 300 passengers on two trains that were stuck near Mendota, about 80 miles from Chicago, boarded buses in Princeton for the final leg of their trip, said Amtrak spokesman Marc Magliari. They were expected to arrive midmorning.
A third train loaded with 217 people spent the night at a BNSF rail yard in Galesburg; they were expected to take buses or another form of transport for the final 150 miles to Chicago.
The trains — The Southwest Chief from Los Angeles, the Illinois Zephyr from Quincy and the California Zephyr from the San Francisco Bay area — got stuck after 3 p.m. Monday in blowing, drifting snow and ice that Magliari said made the tracks impassable.
Passengers spent the night sleeping and eating while emergency workers were on standby. Train crews handed out food and prepared for any medical issues, but authorities said there were none.
"There was no good reason to take people out of warm trains ... into the cold," he said. "We sheltered them in place."
Amtrak canceled nearly two dozen trains in Illinois on Tuesday because of the cold and lingering snow from a weekend storm that dumped more than a foot of snow in some areas of Illinois.
Magliari said crews were clearing tracks and hoped to resume operations Wednesday.
Meanwhile, frigid air that snapped decades-old records will make venturing outside dangerous for a second straight day Tuesday, this time spreading to southern and eastern parts of the U.S. and keeping many schools and businesses shuttered. Residents driven from their homes by power outages in the Midwest longed to return to their own beds.
Monday's subzero temperatures broke records for the date in Chicago, at minus 16, and Fort Wayne, Ind., where the mercury fell to 13 below. Records also fell in Oklahoma and Texas, and wind chills across the region were 40 below and colder. Officials in Indiana, already struggling with high winds and more than a foot of snow, urged residents to stay home.
Copyright 2014 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.