Rain will move in from the south-west during Sunday and spread further into Wales and central southern England by the end of the day.
It is not expected to be as intense as that seen over the last week. However, with around an inch (25mm) of rain possible for many within the warning areas, there could be some impacts.
One Met Office yellow warning for rain, valid from 1600BST Sunday to 0900BST Monday, states that there could be more three inches (80mm) of rain on some hills in the south-west of England and south Wales.
Heavy rain will then spread to other areas of England and Wales during Monday, prompting the Met Office to issue further yellow warnings in parts of north-east Wales, north-west England, the Midlands, Yorkshire, Lincolnshire and Norfolk. More than three inches (80mm) is possible on higher ground in these areas too.
The most persistent rain could last into Tuesday, especially in parts of Yorkshire, Lincolnshire and the East Midlands, adding to flooding concerns.