Up to a foot of snow expected in Mass.

Snow blanketed Coles Hill on the Plymouth waterfront as a man mades his way down stairs at the staue of Massasoit on Friday.John Tlumacki/Globe staff

Blustery conditions are expected to continue through the week, accompanied by a Tuesday snowstorm that could drop more than a foot of snow, according to the National Weather Service in Taunton.

The weather service received multiple reports of trees or large branches downed by the winds, starting about 9:30 a.m. Saturday in North Andover and continuing until 6:30 p.m. in Cambridge, said Bob Thompson, a National Weather Service meteorologist.

No records were set in Boston on Saturday, as temperatures reached a high of 23 degrees just after midnight. That’s just 1 degree over the record lowest high temperature recorded for March 11, which was 22 degrees set in 1874, according to the weather service.

Worcester, Providence, and Hartford set new minimum high temperature records of 16, 23, and 22 degrees, respectively, breaking longstanding records, Thompson said.

That trend is expected to continue Sunday, with the high temperature in Boston forecast at 24 degrees, which would break the record low maximum temperature record of 25 degrees, according to the weather service. A low temperature of 9 degrees is expected at 6 a.m. Sunday, kicking the morning off to a chilly start after the clocks move forward an hour for Daylight Savings Time.

While slightly warmer temperatures in the high 20s are expected to return Monday, meteorologists predict a significant winter storm could hit the region Tuesday into Wednesday, bringing heavy snow, coastal flooding, and strong winds.

“It looks like probably all southern New England will get a lot of snow, but there’s going to be some variability,” Thompson said.

The extent of the storm, and where it might have the greatest impact, is not yet clear, but the weather service said it could bring between 12 and 18 inches of snow. Snowfall could begin early Tuesday morning and last through Wednesday.

The weather service issued a blizzard watch for Suffolk and Plymouth counties, eastern Norfolk county, southern Bristol County, southern Rhode Island, and southern Connecticut, Thompson said. Cape Cod and the islands could also see blizzard conditions, he added.

“The wind itself could be strong enough, especially on the Cape and islands, to cause some damage and power outages on Tuesday and Tuesday night,” he said. “We are also watching the coastline for a potential of coastal flooding.”

Temperatures later in the week are predicted to be colder than usual for this time of year, with highs on Wednesday and Thursday forecast in the low 30s.