British airport operator BAA, majority owned by Spanish infrastructure group Ferrovial, warned some flights would continue to be affected.
But it said flights were expected to resume at Glasgow Airport Wednesday morning, and it expected a "fuller programme" of services at Edinburgh.
In Scandinvia, traffic was mostly normal after some distruptions on Tuesday.
Norwegian airport operator Avinor said commercial air traffic would operate normally on Wednesday, including helicopter flights to offshore oil and gas platforms.
Sweden's Swedavia said a number of flights had been cancelled from Gotheburg's Landvetter Airport.
However, Scandinavian Airline SAS, said it had not cancelled any flights in Sweden, though one flight to and from Hamburg from Copenhagen would not depart.
"We expect normal traffic today," SAS spokeswoman Malin Selander said.
She said the airline had received permission from the Swedish Transport to fly in so-called ash 'grey zones', but had not yet done so.
Domestic flights in Finland were operating normally, though two flights to and from northern Germany have been cancelled.

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