Further outbreaks of rain are expected today and tomorrow, with a yellow warning in place for this area.
The MET Office says the heaviest and most persistent rainfall is likely to occur over high ground - with strong winds.
The warning's in place from midday today until late tomorrow night.
The Environment Agency says rivers already affected by record water levels back in December could be at risk of some localised flooding.
Dan Bond from the Environment Agency, said: “We will issue flood warnings and alerts where necessary as rivers respond to the rainfall.
"This could also cause drains to overflow, so people need to be ready for flash flooding in some places. Disruption to travel and some flooding of low-lying land and individual properties is possible. We urge people to take care and not to drive through flood water."
Local people can keep up to date with the latest situation here.