It will follow the tail end of Hurricane Lee, which prompted fresh flood warnings in northern England and Wales yesterday and today.
The Met Office said: “On Sunday, we will start to see the influence of ex-tropical Hurricane Nigel, which will be offshore in the mid-Atlantic.
“These systems have a long reach.
“It will increase rainfall rates and also winds to bring unsettled weather to the UK.”
The after-effects of Hurricane Lee was expected to see heavy showers and thunderstorms hit parts of the UK on Thursday and Friday.
But the Met Office said they are not expected to be as severe as those on Sunday, when more than 10,000 lightning strikes were recorded.
It added: “Although we’ve indicated that there could be flooding associated with the reasonably high levels of rainfall, that’s not something anticipated to be widespread.
“It’s something that may be a consequence of a catchment that suddenly gets more inundated or there are blockages in drainage.”