Heavy rains hit Boston Saturday night, with storms rolling in from the west of the city leaving 0.87 inch of water at Logan Airport as of 11:34 p.m., according to the National Weather Service.

The rainfall totals were higher west of the city, topping off at 4.69 inches in East Longmeadow.

Storms were dissipating as night turned into day, but there is a 50 percent chance for more thunderstorms and rain on Sunday, said Rebecca Gould, a meterologist for the National Weather Service in Taunton.

“Basically all of southern New England” could experience rain Sunday, according to Gould. Worcester and points west have a slightly higher chance, 60 percent, of rainfall, she said.

The new rainfall Sunday should accumulate between a tenth and quarter of an inch, with potentially more if thunderstorms occur, the weather service predicted. Temperatures are expected to reach the mid-70s.

Although a flood advisory was issued by the National Weather Service Saturday afternoon for most of eastern Massachusetts - which included Boston, Lowell, Framingham, Norwood, Foxborough, and Attleborough, as well as most of Rhode Island - the advisory was lifted from the areas as of 10:15 p.m. Saturday, said Gould.

The flash flood warnings issued for Hampshire, Hamden, and Worcester counties, all expired at 6 p.m., Gould said.

The weather service is cautioning drivers not to drive into areas where water covers the roadway.

There is also a slight chance for showers on Monday after 1 p.m., according to the weather service’s website. It should be partly sunny, with a high of 77. Monday night has a 20 percent chance of showers as well, and will be mostly cloudy with a low around 65 degrees, the service said.

“It’s really an unsettled weather pattern,” said Gould. “There’s really a chance of rain every day this week.”