The Met Office has issued a yellow weather warning for rain.
The warning, which covers parts of southeast England, said that up to 40mm of rain could fall.
It is in place from 3pm on Sunday until 9am on Monday.
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The Met Office said there is a chance of delays or cancellations to train and bus services and that driving conditions could be difficult.
A separate yellow warning is in place across parts of the southwest, including Exeter and Truro, from 6am on Sunday until 6pm.
The weather agency said flooding is possible, which could cause damage to buildings.
Across England, 57 flood warnings had been put in place as of 12.30pm on Saturday afternoon, and 183 flood alerts.
“Local ongoing flooding from rivers is probable across parts of the Midlands and in parts of southeast England,” the Environment Agency said.
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It said groundwater flooding is also possible for the next five days in parts of north Yorkshire and the South of England.
Earlier this week, schools closed and roads and railways were flooded as heavy rain fell on already saturated ground.
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Areas of southern, central and eastern England were hit with “lively and active showers” on Thursday, Met Office forecaster Simon Partridge said.
Herefordshire and Worcestershire councils said several schools had closed because of rising flood levels and “treacherous road conditions”.
Around 33mm of rain was recorded in Broadstairs, Kent, with western Scotland all the way down to Cornwall experiencing hail and showers.
The strongest winds pounded the English Channel, with 63mph recorded on Portland in Dorset and 59mph on the Isle of Wight.
