Further spells of rain, heavy at times, accompanied by strong winds are expected during Monday night and Tuesday, with gales and more rain lasting through until Thursday.
A Met Office 'Yellow Alert' is in place for Devon and Cornwall say that the public should be aware of the risk of further disruption due to flooding.
The return to wet and windy weather is due to another area of low pressure and its associated fronts are likely to affect the UK during Monday night and Tuesday, bringing a further spell of heavy rain and strong winds, particularly to southern areas.
There remains considerably uncertainty in the track and timing of this low pressure system, but 10 to 20 mm rainfall is likely quite widely, with over 30mm possible. With ongoing flooding in some places, any further rain will only add to the problems. Very gusty winds may be an added hazard in places.
Following a brighter, showery interlude on Wednesday, perhaps with some gusty winds and wintry showers, a further spell of widespread rain, heavy in places, is likely to spread northeastwards during the afternoon, evening and overnight, perhaps lasting into Thursday.
Gale force winds are likely to be an added hazard in places.
The Met Office's chief forecaster said: "Another Atlantic depression is expected to bring a spell of heavy rainfall and strong winds to parts of the UK later on Wednesday, perhaps lasting into Thursday.
"The track and intensity of the depression is currently very uncertain, meaning that confidence in rainfall amounts and distribution across the UK is low.
"However, southern and western parts of England and Wales look most likely to see further heavy rainfall. Falling soon after earlier widespread rainfall, the cumulative effects of these weather systems are likely to exacerbate the current flooding situation."