Rain has been falling steadily overnight and early this morning across southwestern Connecticut, prompting the National Weather Service to underscore warnings about flooding.

The rain, which could have a cumulative total of from 3 to 5 inches by the time it ends at midday, comes as many rivers and streams are swollen by heavy rain earlier in the week and from snowmelt left by winter's many storms. That has left the ground saturated and runoff could cause ponding on roads around the area.

After the rain eases, the NWS says, the sun will emerge this afternoon as the daytime high temperature rises to the low-50s. There will be an east wind of between 8 to 14 mph, then becoming south.

Tonight will be mostly cloudy, with a low around 34 degrees and a west wind between 8 and 11 mph.

Tomorrow will be mostly cloudy with a high temperature near 50. The temperature falls to about 40 degrees overnight, with a west wind registering between 13 and 17 mph.

And Sunday should be sunny, as the temperature rises to nearly 50 degrees, the weather service predicts.