BBC Stephen Evans: "The effect of the great European freeze is now being felt in airports from New York to Hong Kong"
The EU has heavily criticised European airports for failing to deal with recent freezing weather, which has left thousands of travellers stranded.
European transport commissioner Siim Kallas urged airports to "get serious" about planning, and labelled them a "weak link" in the infrastructure.
Hundreds of flights have been cancelled in recent days, as snow and ice have disrupted travel across Europe.
London Heathrow turned down Army help after days of disruption.
Passengers at the airport have been warned there will be a reduced timetable until at least Friday.
Weary passengers struggling to reach Christmas destinations are spending a fourth day at airports, where patience with a shortage of both information and basic supplies has been wearing thin.
Mass cancellations
Mr Kallas said in a statement that airports in western Europe needed to learn from their counterparts in northern Europe.
"In recent days, I have become increasingly concerned about the problems relating to the infrastructure available to airlines - airports and ground handling - during this severe period of snow," he said.
"It seems at this stage that this is a 'weak link' in a chain which, under pressure, is contributing to severe disruption."
He said he intended to meet airport officials from around Europe to take a "hard look" at how they can operate more effectively in the future.
On Tuesday, airports around Europe continued to struggle.
Dublin airport announced in a statement that it was halting all flights until 1700 GMT because of ice on the runway.
Continental Europe's largest airport, Frankfurt, had to close for three hours and cancel almost 300 flights after being hit by an unexpected snowfall overnight. But flights resumed on Tuesday morning and airport operator Fraport said normal flight operations would resume as quickly as possible.
Heathrow cancelled more than half of its scheduled flights - running 614 flights and cancelling 752.
In France, officials said they were working around the clock to clear a backlog at Paris's Charles de Gaulle airport, which was badly affected by severe weather on the weekend.
The problems at Heathrow are continuing to have a knock-on effect at airports around the world.
"My daughter is coming home, I don't see her very often, she's coming home to an empty house and it's just devastating," said 64-year-old Vivian Crosby, of Cambridge, England, stranded at New Jersey's Newark airport.
And the wider transport network is also suffering.
Eurostar passengers hoping to travel from London to Belgium and France have been hit by mass cancellations caused by speed restrictions on the lines.
Railways in Germany were also struggling to cope, as air travellers who could not get flights resorted to other means of transport.
The bad weather has made many roads dangerous, raising doubts about the delivery of Christmas gifts, while some European retailers have issued pre-Christmas profit warnings.
Airport operators have explained that the sheer volume of snow - in some areas 12.7cm (five inches) fell in just one hour on Saturday - led to extensive ice build-up around aircraft on the ground and that safety concerns remained their priority.
Analysts believe the treacherous conditions are costing British Airways some £65m ($100m; 75m euros) a day.
KLM-Air France said the weekend's disruption had cost it about 15 to 20m euros.
The impact on business has been felt further afield, with Kenya warning the flight disruptions were likely to mean it would miss its 2010 tourism forecasts.