Forecasters said the storm system in the West would sweep across the South and toward the Atlantic coast the coming week, causing problems for holiday travelers.
The "Nordic outbreak" will "produce a mixed bag of wily weather that will end up impacting much of the nation," National Weather Service meteorologist Joe Harris said.
With a winter storm warning in effect for parts of New Mexico, snow was falling across much of the state early Sunday and forecasters predicted up to 5 inches for many areas.
The state Department of Transportation said motorists on several major roadways, including parts of Interstate 40, faced difficult driving conditions because of packed snow and ice, while some roads in the south were closed. Low temps were predicted to be mainly in the 20s statewide.
Station KOB reported strong winds and near white-out conditions late Saturday night along a stretch of I-40, about 80 miles west of Albuquerque.