Spaniard Alonso, however, saw the funny side, posting on Twitter a photoshopped image of a film poster depicting himself and Webber in a taxi.
Ferrari apparently also joined the fun, as the German newspaper Bild published a joke invoice sent from the team's Maranello headquarters to Australian Webber.
The bill, listing the salesperson as 'Fernando', charged Webber a whopping $27,500 - including a $2,500 'tip' - for the 'after hours' taxi service.
F1 legend Niki Lauda, however, backed the FIA's decision to penalise Webber.
"Yes," he told Osterreich newspaper, "because it's against the rules, it's damn dangerous and because it was always punished with a warning."
Bild's reproduction of the Ferrari invoice to Webber can be seen at: http://bilder.bild.de/fotos-skaliert/qf-ferrari-rechnung-34729709-qf-32575500/2,w=650,c=0.bild.jpg