Here's what to expect and when:
"Some light lake-effect snow" is possible southeast of lakes Erie and Ontario as a northwesterly flow sets up across the region.
A slight chance for more snow showers is forecast in the metro Buffalo area with less than an inch of accumulation possible.
There could be as much as a few inches in areas affected by the lake-effect snowfall, but it should diminish after midnight. Blowing snow also should subside.
Otherwise, it will be mostly cloudy with an overnight low in the mid teens.
"Behind the winter storm, lake-effect snow showers will linger into Thursday," the weather service said.
A brisk northwest wind will keep wind chill values in the single digits, forecasters said.
Forecasters from the weather service call for "a slight chance for snow showers" in the morning and late afternoon.
Mostly sunny conditions return to the Buffalo area in spots not affected by lake-effect snow.
The daytime high will climb to near 30 degrees, forecasts show.
A northwest flow of air Thursday and Thursday night keeps things much cooler than normal. Overnight lows in the teens are forecast.
Friday and beyond
Friday will start out sunny, but cloud up as a clipper system approaches in the afternoon. Unseasonably cold conditions will continue through the end of the week, forecasters say.
Temperatures Friday through Sunday are forecast to moderate slightly, with highs in the 30s.
Another storm system could whip through the area late Friday into Saturday, bringing a sloppy mix of rain and snow at first, then snow Friday night. It probably will switch back to rain on Saturday, except for another inch or two of snow at higher elevations, according to forecasters.
For Buffalo's St. Patrick's Day Parade on Sunday, it should be dry and partly sunny, but chilly.
Forecasts show the next shot at a 40-degree day looks to be next Tuesday.