The weather is likely to turn worse this week, with experts forecasting more heavy rain and high winds from Monday, and exposed areas risking gales of up to 60mph.
Northern and western areas could be hit with up to six inches of rain on Wednesday and Thursday, said Meteogroup UK, the Press Association's weather division.
Forecaster Matthew Dobson said: "We expect to see quite a lot of wet weather in the north and west areas, which could lead to flooding.
"It is looking like there will be strong winds of 50-60mph across the north and west."
But he said that temperatures would remain mild despite the wind and rain.
Calmer weather prevailed on Sunday following Saturday's storms, but scattered showers throughout the day ensured that the weekend remained a washout for most.
With more heavy rain forecast for southern regions on Sunday night, the Environment Agency has been warning homeowners to be alert to the risk of flooding.
Agency officials estimated that 50 properties were flooded by rising surface water.
The agency has five flood warnings and 35 watches in force and dealt with close to 5,000 calls to its helpline on Saturday.
© Press Association 2009