Heathrow and Gatwick airports in London are all but shut due to heavy snow across Britain.
The BBC reports few flights will depart on Sunday.
The Met Office warns of more heavy snow in Yorkshire, north-east England and eastern Scotland, advising essential travel only in the Edinburgh area.
Icy roads affect much of Britain. There is some rail disruption.
Edinburgh airport was closed until 1430 GMT and then opened for departures only on Sunday.
In Germany, Frankfurt airport was open but hundreds of flights were again cancelled on Sunday because of problems elsewhere.
The BBC reports heavy snow in northern France has led to air and train disruptions, with a quarter of flights cancelled at Charles de Gaulle and Orly airports in Paris.
The Tuscany region of northern Italy remains under heavy snow and Florence airport was closed.
Schiphol airport at Amsterdam was open, but about 30 flights were cancelled on Sunday because other airports were closed.