British Airways says it is aiming to run a “near normal schedule” at Gatwick and the “majority of services” from Heathrow on Sunday after IT failure led to all flights being cancelled.
Serious problems with BA’s systems led to thousands of passengers having their plans disrupted on Saturday.
Passengers described “chaotic” scenes at the airports, with some criticising BA for a lack of information.
The airline apologised and said it was refunding and rebooking customers.
BA there was no evidence the computer problems were the result of a cyber attack.
The company’s chief executive Alex Cruz had said it was believed “the root cause was a power supply issue”.
A BA spokesman said: “We are continuing to work hard to restore all of our IT systems…
“We are extremely sorry for the huge disruption caused to customers throughout Saturday and understand how frustrating their experiences will have been.
“We are refunding or rebooking customers who suffered cancellations on to new services as quickly as possible and have also introduced more flexible rebooking policies for anyone due to travel on Sunday and Monday who no longer wishes to fly to/from Heathrow or Gatwick.”